Abstract group data - 10749542400000000.cs

Formats: - HTML - YAML - JSON - 2025-11-08T10:39:05.524576

• 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': '8.5', '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': [[271617736509155892863784601548309482818787693474, 710702866108755854504349647995307417965318449380, 754198235414840918489052816873170167799340110059], [271617736804651822740322435926095310474467693412, 710702866108755854504349647995307417877661156656, 733277330716176874018652527909167196151340110140], [271617735901849921220819933922370310753507693452, 710702866108755854504349647995307417984478513431, 754184843655076482045223968893036737732140110085], [271617736188399402641612188274470725995747693412, 710702865543822170446363196251797280352948529380, 754198235692970213433258514332760072789548110059], [271617736509682154537651988608643918843107693500, 710702866108500946506070751712358930977870129380, 754198235415367162479396216454100694736428110059], [271617736509155892863784601548802486441715386274, 710702866108755854504349647995307418245095300656, 754198235414840918489052816873170167724655777259], [271617736509155892863784601548674062518846298274, 710702866108755854504349647995307418139675031850, 754198235414840918489052816873170167967948673259], [229775927111827803617692387547463073385699693474, 689245175039533982577143035827622791123719063540, 773550444254431949525390552164321067408940110140], [251742877045425041764253463842386353048803693474, 669397843081985593020355393270983129862918091540, 795503258441611179973047071597494455901740110107], [271617736509155892863787136221041563495816943954, 710702865543822170446364411245493065775141169380, 754198235414840918489054081322897975436270670059], [271617736509155892863784654427434630538058097794, 710702866108229592830482285662988993048367409380, 754198235414840918489054006065940156508265550059], [229775927111827795386110374492315445480675693474, 710702866108755845967475998867575418871435569380, 754198235996886311808859442962356993269292110059], [292538641207819937322892729600767496670435693474, 710702866108755854514835225984599541100720433380, 754198235423532458957811042203051045559852110059], [271617736509155892863784601548315529429862074274, 710702866108755881029232337753306615379345713380, 754198235414840918489052816873285075761405006059], [271617736509155892863784601548431148573785434274, 710702866108755853916350697673088115568996657380, 754198235414840918489052816873400318488108110059], [271617736509155892863785816644187152584399933474, 689245175039533982577143035827622791123718085780, 754198235414840918489052816873170167799340519019], [271617736509155892863784654427434630538058012834, 650032242482630125540188809999698800186118378820, 754198235414840918489052816873170167799340035179], [271617736509155892863784601548309482818787693474, 564185804054675040875299753531900598411549612153, 753138798402776636047205238600737546532947180096], [187326964082989762643703482852723799052520823037, 710702866108755854504349647995307417965318449380, 82128314991106679909034244583409837511577783114], [250174181160565196880527216335581140647755833016, 543787922554988523386802907700214632876216550380, 754198235414840918489052816873170167799340110059], [291988091353888205374968738742513056542808520287, 355372456174564745862071648233552594101193660821, 62763086393235057970139474493622141686327518649], [187340727541119561624438590060816876931221186629, 524436085413236610569958117562065994818531903250, 732740916626029793238838878834602667020800298877], [210919956762605407167321268256540764025530341114, 315071814825939782992285214371786051910345021302, 774059331698587702388005359490401707512737042436]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 171992678400000000, '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': None, 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '10749542400000000.cs', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5'], 'composition_length': 14, 'conjugacy_classes_known': False, 'counter': 71, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': None, 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 240, 'exponents_of_order': [22, 8, 8], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '10749542400000000.cs', 'hash': 3840658328418120509, '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': 'A_5^8.(D_4.D_4)', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '10749542400000000.cs', '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': 'A5^8.(D4.D4)', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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3, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': None, 'number_divisions': None, 'number_normal_subgroups': 28, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 10749542400000000, 'order_factorization_type': 321, 'order_stats': None, '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': 16, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': None, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 40, 'gens': [710702866108755854504349647995307417965318449380, 271617736509155892863784601548309482818787693474, 754198235414840918489052816873170167799340110059]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 1125, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_5^8.(D_4.D_4)', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [10749542400000000, 71] does not appear in gps_conj_classes
• group 10749542400000000.cs does not appear in gps_qchar
• group 10749542400000000.cs 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: 124044333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10749542400000000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '10749542400000000.cs.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': '10749542400000000.cs', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.(D_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 124044444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': '5374771200000000.j', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.(C_2^3.C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 124044666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', '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': '5374771200000000.o', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.Q_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', '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': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', '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': '5374771200000000.n', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', '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': '5374771200000000.o', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.Q_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.A', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', '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': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.p', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.p', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.o', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': 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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.l', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': 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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.j', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': 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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.l', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.j', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2687385600000000.o', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 124044522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': 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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1343692800000000, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 124044744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': 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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 671846400000000, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': 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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 335923200000000, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 335923200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': 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': 335923200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': 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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': 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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': 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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': 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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': 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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': 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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044780
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 167961600000000, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': '64.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 167961600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.80._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.80._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.80._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.80._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': 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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.96._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': 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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.96._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': 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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.96._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': 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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.120.a1.a1', 'maximal': False, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.144._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.144._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.144._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, 'quotient_simple': 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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.160._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': 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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.192._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': 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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.240._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.288._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, 'quotient_simple': 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': 37324800000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.320._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, 'quotient_simple': 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': 33592320000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.384._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': 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': 27993600000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.384._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': 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': 27993600000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.384._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': 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': 27993600000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.400._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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': 26873856000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.A', '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22394880000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.480._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, 'quotient_simple': 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': 22394880000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'C_5:D_5.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.576._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.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': 576, 'quotient_simple': 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': 18662400000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.A', '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17915904000000, 'subgroup_tex': '(C_2^2\\times A_4).A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': 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': 17915904000000, 'subgroup_tex': 'C_2^4:C_3.A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': 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': 17915904000000, 'subgroup_tex': '(C_2^2\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': 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': 17915904000000, 'subgroup_tex': 'C_2^4:C_3.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': 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': 17915904000000, 'subgroup_tex': '(C_2^2\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': 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': 17915904000000, 'subgroup_tex': 'C_2^4:C_3.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.640._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '640.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': 640, 'quotient_simple': 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': 16796160000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.720._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14929920000000, 'subgroup_tex': 'D_{10}.(C_2\\times A_5).A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14929920000000, 'subgroup_tex': 'D_{10}.(C_2\\times A_5).A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14929920000000, 'subgroup_tex': 'D_{10}.(C_2\\times A_5).A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044569
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '768.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': 768, 'quotient_simple': 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': 13996800000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(C_3\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'C_3:S_3.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.800._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': 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': 13436928000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.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': 900, 'quotient_simple': 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': 11943936000000, 'subgroup_tex': 'C_2^4.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.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': 900, 'quotient_simple': 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': 11943936000000, 'subgroup_tex': 'C_2^4.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.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': 900, 'quotient_simple': 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': 11943936000000, 'subgroup_tex': 'C_2^4.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044646
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 124044727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 124044729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(C_3\\times D_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 124044735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.960._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '960.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': 960, 'quotient_simple': 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': 11197440000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.1000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.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': 1000, 'quotient_simple': 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': 10749542400000, 'subgroup_tex': 'C_2^6.C_3^3.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.1000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.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': 1000, 'quotient_simple': 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': 10749542400000, 'subgroup_tex': 'C_2^6.C_3^3.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.1000._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.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': 1000, 'quotient_simple': 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': 10749542400000, 'subgroup_tex': 'C_2^6.C_3^3.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 124044739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '10749542400000000.cs.390625._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '390625.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': 390625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 27518828544, 'subgroup_tex': 'C_2^{16}.C_3^8.(D_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 124044740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.1679616._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1679616.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': 1679616, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '10749542400000000.cs.100000000._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100000000.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': 100000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 107495424, 'subgroup_tex': 'C_3^8.C_2^6.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 124044742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '10749542400000000.cs.2562890625.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2562890625.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': 2562890625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4194304, 'subgroup_tex': 'C_2^{11}.C_2^5.D_4^2', 'supersolvable': True, 'sylow': 2}
  • id: 124044743
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '10749542400000000.cs.27518828544.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27518828544.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': 27518828544, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 390625, 'subgroup_tex': 'C_5^8', 'supersolvable': True, 'sylow': 5}
  • id: 124044745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '10749542400000000.cs.1638400000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1638400000000.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': 1638400000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 3}
  • id: 124044746
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '10749542400000000.cs', 'ambient_counter': 71, 'ambient_order': 10749542400000000, 'ambient_tex': 'A_5^8.(D_4.D_4)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 471, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '10749542400000000.cs.10749542400000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10749542400000000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '10749542400000000.cs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10749542400000000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_5^8.(D_4.D_4)', '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: 124044638
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 800, 'diagramx': None, 'generators': [1496880, 53952034933325168640000, 128047474114560000, 35672339611031648284311552000000, 82651709306140991904344925386841469747200000000, 493715072987136000, 1060180981351218469783798427229880320000000000, 585106708458098071710315869592250131690199455995, 106378272000, 295767283552125705830770771230720000000, 29, 305291636072840466137088000000, 524959107744145507444451479779389129160110562659, 180623520000, 3, 1537920, 894653068413212180491358966906880000000, 1888372313608552611840000], 'label': '10749542400000000.cs.800._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044639
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 800, 'diagramx': None, 'generators': [368002, 41319158773188277730258038703354019840000367920, 134805535248389760, 52879125147719270400000, 5815, 61207409996683556420967161199290272972800000000, 262518244725099600, 41332550550590712855018365965547563844668273278, 17988815623552244375224320373680, 4, 368392520880, 41842181695105507148018931392699040581588081281, 10080, 616523773774298119104609528053760363600, 327069374973677170458624005760, 267762268080, 894653068413212180491358966906880000000, 2534672732080677027850080, 363600], 'label': '10749542400000000.cs.800._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044640
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 800, 'diagramx': None, 'generators': [41319158773188277730258038703354019840000367920, 134805535248389760, 52879125147719270400000, 61207409996683556420967161199290272972800000000, 262518244725099600, 5820, 41332550550590712855018365965547563844668625292, 8863943024101665264500736005760, 368392520880, 368001, 41842181695105515380407527370099879757780091384, 18598592312775672096227328363600, 10080, 616523773774298119104609528053760363600, 894653068413212180491358966906880000000, 267762268080, 9767719188486388493844480005760, 2534672732080677027850080, 363600], 'label': '10749542400000000.cs.800._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044656
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [19, 646300418472124416000000, 1941149256871928463723600, 82142450441765617137631234142322976358400000000, 20920904698664044470400288964002971648000000000, 958003200, 499761759264768000, 371337674932224000, 303916116658416027343136804044800000000, 936846064197104891461632000000, 281173939200, 894907976411491696098708459356160000000, 119, 83188123979131126455120824989814034429053394032, 26536174850669524215791616363600, 363600], 'label': '10749542400000000.cs.960._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044657
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26536174850669524215972679421280, 268721349224, 371338030351820160, 17892896911491160051370825008462974720, 1060180981351218469783798427229880588721107200, 1209600, 1266799911147716627813760, 181581523200, 355938105600, 499762027546397280, 62253455231616758644487175647490421823920714080, 894653068413212180491358966907838003200, 180623520000, 959212867, 753125035258052118701043950359222158446608447434, 1862469205927764206981760, 35988116825093780497155406339680], 'label': '10749542400000000.cs.960._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044658
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [268721349224, 646300418472124416000000, 371338030351820160, 36303894039155912709817159421280, 815364726432127031525358990000919154229827711943, 53952034933680149151360, 590465598079208281695237219468104056320, 20411645834288669703686597719484478526963104000, 959454743, 181581523200, 355938105600, 42392360111977243334090117265979165397042636248, 9146650338351415815313402264320, 13516122267648000, 17892896911491160051370824827400369920, 180623520000, 1451520, 550922116975843703070107182711387287138105600], 'label': '10749542400000000.cs.960._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044659
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [268721349224, 646300418472124416000000, 371338030351820160, 36303894039155912709817159421280, 53952034933680149151360, 590465598079208281695237219468104056320, 20411645834288669703686597719484478526963104000, 959454743, 181581523200, 355938105600, 42392360111977243334090117265979165397042636248, 9146650338351415815313402264320, 815364726432127031525358990000919154316526869783, 13516122267648000, 17892896911491160051370824827400369920, 180623520000, 1451520, 550922116975843703070107182711387287138105600], 'label': '10749542400000000.cs.960._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044684
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [17988815623552244375224320010080, 1292600836944248832000000, 622747756649211088901760, 26536176092741419352219811840000, 622747506935713775626080, 1915348331075215196160000, 894653068413212180491358966906880005760, 62253456439132392803416039056848924478626903081, 12, 19678982400, 698004451949894369285854, 616523773774298119104609528053760000000, 10080, 268280812800, 42392360111977243334090117265979165060344019288, 794470976968723857694560866496170789121762332861, 82114922935583164447539224930653945519964160000, 62790241602174586101293498851172076748800005760], 'label': '10749542400000000.cs.960._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044685
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [17988815623552244375224320010080, 1292600836944248832000000, 622747756649211088901760, 26536176092741419352219811840000, 794470976968723857694560866496170789121762700781, 622747506935713775626080, 1915348331075215196160000, 894653068413212180491358966906880005760, 62253456439132392803416039056848924478626903081, 12, 19678982400, 698004451949894369285854, 616523773774298119104609528053760000000, 10080, 268280812800, 42392360111977243334090117265979165060344019288, 82114922935583164447539224930653945519964160000, 62790241602174586101293498851172076748800005760], 'label': '10749542400000000.cs.960._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044686
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [17988815623552244375224320010080, 1292600836944248832000000, 622747756649211088901760, 26536176092741419352219811840000, 794470976968723857694560866496170789121762700781, 622747506935713775626080, 1915348331075215196160000, 894653068413212180491358966906880005760, 12, 19678982400, 698004451949894369285854, 616523773774298119104609528053760000000, 62253456439132392803416039056848924478626545241, 10080, 268280812800, 42392360111977243334090117265979165060344019288, 82114922935583164447539224930653945519964160000, 62790241602174586101293498851172076748800005760], 'label': '10749542400000000.cs.960._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044708
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [280215946191, 62253456439132392803416090760882402422936765481, 620499492675411148800000, 27527506182452690092631959163162173192152960, 2507696714614014443520000, 303916116658416027343136804044800000000, 36303894039155912709984809174880, 1596596244806933111756458426213988449933731890, 280215941763, 256095042153360480, 10080, 93924230400, 894907976411491696098708459356160000000, 41841809397328088940800577928005943296000010080, 21777738900836704321536000000, 774596490383746867096310967978602633744343985345, 274467916800, 376958931154560], 'label': '10749542400000000.cs.960._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044709
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [280215946191, 620499492675411148800000, 27527506182452690092631959163162173192152960, 2507696714614014443520000, 303916116658416027343136804044800000000, 62253456439132392803416090760882402422936407641, 36303894039155912709984809174880, 280215941763, 1596596244806933111756458426213988449933374050, 256095042153360480, 10080, 93924230400, 894907976411491696098708459356160000000, 41841809397328088940800577928005943296000010080, 21777738900836704321536000000, 774596490383746867096310967978602633744343985345, 274467916800, 376958931154560], 'label': '10749542400000000.cs.960._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044710
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [280215946191, 620499492675411148800000, 27527506182452690092631959163162173192152960, 2507696714614014443520000, 303916116658416027343136804044800000000, 62253456439132392803416090760882402422936407641, 36303894039155912709984809174880, 280215941763, 1596596244806933111756458426213988449933374050, 256095042153360480, 10080, 93924230400, 894907976411491696098708459356160000000, 41841809397328088940800577928005943296000010080, 21777738900836704321536000000, 774596490383746867096310967978602633744344347505, 274467916800, 376958931154560], 'label': '10749542400000000.cs.960._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044734
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 960, 'diagramx': None, 'generators': [122000787836928000, 41332550550590712855018365965547563844668635360, 61207409996683556420967161199290272972800000000, 1887197221938603295083600, 1189877644614162143416159850987520373680, 609776689223427721003008005760, 10109, 82142450441765617137631234142322976358400367920, 88176211200, 2534672732080677028203600, 1596596244806933111756458426213988537590656770, 10144, 10080, 12972960000, 616523773774298119104609528053760005760, 493003698130949760, 8863943024101665264500736000000, 363600], 'label': '10749542400000000.cs.960._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044735
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 960, 'diagramx': None, 'generators': [10135, 1596596244806950795280445905617897624823024690, 41332550550590712245241676742119842841660273212, 363638, 122000787836928000, 61207409996683556420967161199290272972800000000, 1887197221938603295083600, 1189877644614162143416159850987520373680, 36303894039155912709636096010080, 82142450441765617137631234142322976358400367920, 88176211200, 2534672732080677028203600, 35367047974958807818174464000000, 10080, 12972960000, 616523773774298119104609528053760005760, 493003698130949760, 363600], 'label': '10749542400000000.cs.960._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044791
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [125623686408867667576018212165664686478397180764, 36303894039155912709636096000000, 894381714737624309038374023331840000000, 2507696714614014443520000, 773550444836477325151186346035748762899539816851, 19939418763264000, 621572402461017047040000, 67, 262013875200, 19228043907072000, 733277703291557280067443194919692821436802065236, 13516122267648000, 81, 725760, 295241021878258318770436335206400000000, 193077561600, 806400, 11292160911544957796352000000, 367920, 20425781580706685949950381698514209996800000000, 61716668861058931187680852443808766361600000000], 'label': '10749542400000000.cs.100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044792
    {'ambient': '10749542400000000.cs', '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': [62253455231616758644487175647490421555201139040, 1596596244806933111756458426213988537591427890, 1207515633527373787860181183365120000000, 958770000, 936846064197104891461633139040, 766825, 2248001455555215360000, 26841466486742364681928705139040, 754198235414840918489052816873170167799340796219, 376610217984000, 2561648749547339612160000, 193077561600, 1582831605491029680326337651881803776000000000, 1139118, 41332550550590712855018365965547563844669754252, 1139040, 499761759265534800, 26058175695089837409372308766720000000, 766800], 'label': '10749542400000000.cs.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: 124044342
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2509944716069569660412160, 52879125147719270400000, 41319158773188277730258038703354019840001532160, 958003200, 19939418764796160, 812160, 903328163193369889064059435745280812160, 936846064197104891461632000000, 4, 186810624000, 128047474115659440, 1099500, 1569439845726593236497489671748373708801532160, 9146650338351415815045120812160, 773550445131447029646461152267180137033587477655, 526261673867387060334436024320812160], 'label': '10749542400000000.cs.192._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044333
    {'ambient': '10749542400000000.cs', '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': [710702866108755854504349647995307417965318449380, 271617736509155892863784601548309482818787693474, 754198235414840918489052816873170167799340110059], 'label': '10749542400000000.cs.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: 124044334
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104703154302942468982442952372635657925609934040, 61730804625114937272710262832470708581842591931, 83188123979131126455120824989814034429053075792, 12804753678438976, 1596967369547035145095937893678429930795059184, 16, 61730805510805111564160615587110882973535068807, 19160074103, 14135746418017171817741216644538153518007063, 26976036694713716332812, 3, 82142451631914615743158541753658062700094499760, 711387829152012, 1596968541786691466306247012682975974312755849, 550922412743128170264138310244060394163608989, 2248021018731633914164, 1207515642989801394225764521269914082484, 41841809406019630323820546806994178262586277780, 131776, 376610218029367, 83188495685390359840395131764857926430308054895, 8946449087300036301322203969985327482, 83188496267164418061428381595837497730634639451, 621068876038093541213675530080, 711381123139696, 10092, 1569439845726594162051421108423867302156160080, 958048563, 271353675587871452991701636692823056, 814855467290156864936443724550198472434191730431, 1175098093258266868339, 17366636163177727980642981607876771680], 'label': '10749542400000000.cs.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044335
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [17366644384274165294627989656389378640, 126000, 1175092046560054789216, 376610218831440, 609776740927461910160791198800, 40809899909339174089353734846534636282348640007, 14135772476227613693260571172977650152422420, 958129203, 26313083715147143621598406604943025212, 11292162086637004362593893204, 806400, 21777741148838159876751446408, 21457691086588534016784389966987760047419075204, 61207410882390203513901044320947859754651904025, 126019, 11292238518686828004115256407, 79855149372442989350416, 83188495694065464061202652675164909535204403290, 1582831623383953727283459606919953643783228823, 126016, 42392360111977243334090117265979165060344825688, 26976018178037441318416, 526261695645178840315516122006518416, 86403, 8691540468758252305904768000326916420, 753675584495476505172939891003244275594007719033, 1060180981877481058719562487866692635492409607, 12973086000], 'label': '10749542400000000.cs.160._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044336
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [17366644384274165294627989656389378640, 126000, 1175092046560054789216, 376610218831440, 609776740927461910160791198800, 40809899909339174089353734846534636282348640007, 14135772476227613693260571172977650152422420, 958129203, 26313083715147143621598406604943025212, 11292162086637004362593893204, 806400, 21777741148838159876751446408, 21457691086588534016784389966987760047419075204, 61207410882390203513901044320947859754651904025, 126019, 11292238518686828004115256407, 79855149372442989350416, 83188495694065464061202652675164909535204403290, 1582831623383953727283459606919953643783228823, 126016, 42392360111977243334090117265979165060344825688, 26976018178037441318416, 526261695645178840315516122006518416, 86403, 41332550550590712855018365965547563844669028492, 8691540468758252305904768000326916420, 1060180981877481058719562487866692635492409607, 12973086000], 'label': '10749542400000000.cs.160._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044337
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [18293300676702831630090240000000, 12454041600, 41332550532952714174086886683487449907200000000, 912274611649115469089744848158720086400, 62763086679792762850249495925382893055130446778, 126000, 262518244724822400, 26976017466662584320000, 753675584495476505172939891003244275594008399433, 590465598079208281695237219287040000000, 1941149256871928463360000, 376610218110000, 126011, 180623520000, 83188495676698819361151248590523124940800126000, 119, 11292160911544957796352126000], 'label': '10749542400000000.cs.160._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044338
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [3, 1582831614437478767626346976923688347549468179, 621068928815036427985577167923, 536786379249367914272414598035041821302817154, 27527532240629310736398557203796674609300332, 1596967360855494709405076630280541701840101052, 2248020683611577573055, 550922734025880076789568337748524396856103572, 1046045234933203160366132597359201432268588160, 550922117247197988434747714529518900465754727, 26313084324925696489567015515067315260, 15, 61207410604515825126626250497404533049478607479, 376622672116320, 958003203, 812160, 20935040462974958249226644778503850262394072452, 7225752968, 1502640, 26058176316158688719456220342664478655, 6758067841020736, 26976024601340642514020, 271354307142352456375228000937035452, 83188123979131126455120824989814034429053121152, 11292187887569182521028237943], 'label': '10749542400000000.cs.192._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044339
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [7, 2507696714614014445052160, 1073572741115654913612646407363310387201532160, 17683523987479403909087233099440, 20920904698664044470400288964002971648000812160, 812160, 912274611649115469089744848158720493920, 274468728960, 384853797201404160, 25903107681056686573920, 128047474115659440, 181582622640, 599683400210541733173907575275520000000, 493994, 631554428124264425324544000000, 794994000471888847399146709191913264283775847148], 'label': '10749542400000000.cs.192._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044340
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [7, 2507696714614014445052160, 1073572741115654913612646407363310387201532160, 17683523987479403909087233099440, 20920904698664044470400288964002971648000812160, 812160, 912274611649115469089744848158720493920, 274468728960, 384853797201404160, 25903107681056686573920, 128047474115659440, 181582622640, 599683400210541733173907575275520000000, 493994, 631554428124264425324544000000, 794994000471888847399146709191913264283775493628], 'label': '10749542400000000.cs.192._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044341
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [2509944716069569660412160, 52879125147719270400000, 773550445131447029646461152267180137033587225655, 41319158773188277730258038703354019840001532160, 958003200, 19939418764796160, 812160, 903328163193369889064059435745280812160, 936846064197104891461632000000, 4, 186810624000, 128047474115659440, 1099500, 1569439845726593236497489671748373708801532160, 9146650338351415815045120812160, 526261673867387060334436024320812160], 'label': '10749542400000000.cs.192._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044343
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [536786397142265751317450958948333923950334656, 27527532766890680118706563862524821189379127, 12973772164, 1060181571816835169362752298955532766674829957, 1582832204648169132069061941348040001770776308, 21444300221477174806554000905377796474894789853, 11292213790676863583982696976, 2248002166937297667128, 19228050174373200, 41332550550590712855018365965547563844668308492, 1569439846252854910364903708119839217224092180, 526261685159599675919629651759467615, 321282751896040472537712527734806187444, 15, 26313083715147145869594150238519329120, 812160, 518918403, 376623191034720, 26584437684734465507869940251136928011, 52879138663853993189043, 1060180981622572167149435757312996467808310335, 1502640, 4, 14135764310913157756237806348399075256453212], 'label': '10749542400000000.cs.192._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044344
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [536786397142265751317450958948333923950334656, 27527532766890680118706563862524821189379127, 12973772164, 1060181571816835169362752298955532766674829957, 1582832204648169132069061941348040001770776308, 21444300221477174806554000905377796474894789853, 11292213790676863583982696976, 2248002166937297667128, 1596596244806933111756458426213988537590777010, 19228050174373200, 1569439846252854910364903708119839217224092180, 526261685159599675919629651759467615, 321282751896040472537712527734806187444, 15, 26313083715147145869594150238519329120, 812160, 518918403, 376623191034720, 26584437684734465507869940251136928011, 52879138663853993189043, 1060180981622572167149435757312996467808310335, 1502640, 4, 14135764310913157756237806348399075256453212], 'label': '10749542400000000.cs.192._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044345
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [61730804625114937272710262832470708581842591931, 83188123979131126455120824989814034429053075792, 12804753678438976, 1596967369547035145095937893678429930795059184, 16, 61730805510805111564160615587110882973535068807, 19160074103, 14135746418017171817741216644538153518007063, 26976036694713716332812, 3, 82142451631914615743158541753658062700094499760, 711387829152012, 1596968541786691466306247012682975974312755849, 550922412743128170264138310244060394163608989, 271617736509155892863784601548309482818787693474, 2248021018731633914164, 1207515642989801394225764521269914082484, 41841809406019630323820546806994178262586277780, 131776, 376610218029367, 83188495685390359840395131764857926430308054895, 8946449087300036301322203969985327482, 83188496267164418061428381595837497730634639451, 621068876038093541213675530080, 711381123139696, 10092, 1569439845726594162051421108423867302156160080, 958048563, 271353675587871452991701636692823056, 814855467290156864936443724550198472434191730431, 1175098093258266868339, 17366636163177727980642981607876771680], 'label': '10749542400000000.cs.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044346
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [62790241602174586101293501099192760354189491328, 20398254074524233259857749739351048199224981878, 5760, 62790241602174586101293498851185258125589584648, 62790241619812575014505197247350343259085317278, 26584447125384331899814896108971708220, 126000, 26, 83188495677225081056796427431306370025005423958, 82128314695347600902659636978067884262634104966, 81605664071207789680824910938641321164800000000, 12454041600, 1060180981351218785561014737498354092414771772, 61207409996683556420967188175321255776373078972, 61207411203927871661580059339080392747209547674, 20398254101108670650593385313555832632103218048, 83188495676698819361151248590523124940800000000, 711374856272640, 20398254074524233259857749739351048192958003238, 61730804607476947433944688127372072406029296714, 21457691069221871927206612167684626860760150456, 86, 81605664071734051354692299174439141685162240118, 733277703291557280067443194920050642989466641236, 20398254074524233259857776715496562328699692186, 30, 81605664088845788361756390220701435102269754252, 62790241602174586101293498851172076748800000000, 83188495676698819361151248590529548237295737740], 'label': '10749542400000000.cs.200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044347
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [62790241602174586101293501099192760354189491328, 20398254074524233259857749739351048199224981878, 5760, 62790241602174586101293498851185258125589584648, 62790241619812575014505197247350343259085317278, 26584447125384331899814896108971708220, 62790613891005547033185955264053324821942480724, 126000, 26, 83188495677225081056796427431306370025005423958, 82128314695347600902659636978067884262634104966, 81605664071207789680824910938641321164800000000, 12454041600, 1060180981351218785561014737498354092414771772, 61207409996683556420967188175321255776373078972, 61207411203927871661580059339080392747209547674, 20398254101108670650593385313555832632103218048, 83188495676698819361151248590523124940800000000, 711374856272640, 20398254074524233259857749739351048192958003238, 61730804607476947433944688127372072406029296714, 21457691069221871927206612167684626860760150456, 86, 81605664071734051354692299174439141685162240118, 20398254074524233259857776715496562328699692186, 733277703587045005083255602020470456985567245586, 30, 62790241602174586101293498851172076748800000000, 83188495676698819361151248590529548237295737740], 'label': '10749542400000000.cs.200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044348
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [62790241602174586101293501099192760354189491328, 20398254074524233259857749739351048199224981878, 21457691382347585878009695214682573077352353958, 5760, 62790241602174586101293498851185258125589584648, 62790241619812575014505197247350343259085317278, 26584447125384331899814896108971708220, 62790613891005547033185955264053324821942480724, 126000, 26, 83188495677225081056796427431306370025005423958, 82128314695347600902659636978067884262634104966, 81605664071207789680824910938641321164800000000, 12454041600, 1060180981351218785561014737498354092414771772, 61207409996683556420967188175321255776373078972, 61207411203927871661580059339080392747209547674, 20398254101108670650593385313555832632103218048, 83188495676698819361151248590523124940800000000, 711374856272640, 20398254074524233259857749739351048192958003238, 61730804607476947433944688127372072406029296714, 21457691069221871927206612167684626860760150456, 86, 81605664071734051354692299174439141685162240118, 20398254074524233259857776715496562328699692186, 30, 62790241602174586101293498851172076748800000000, 83188495676698819361151248590529548237295737740], 'label': '10749542400000000.cs.200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044349
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [9767721672528131687892702721927, 126023, 81591529236538159397926112763238297121099699292, 5760, 27527532240638152901684830954612449625930815, 35378340161773473973168490787843, 886232917009674177348646124773132410731, 19, 526270820517726586849055690627932816, 35378340135870352776157627072564, 550551009347451225554106590664426901045445765, 26058175695089889113405786555833349772, 16, 8863943024101665264500736000000, 23, 8863943024101665641110953984015, 27528713698095364116809874813577491933567380, 35378340135870352775971334918419, 17637989240281045320826123311673475760, 1596968558898435463620562789537764881785087927, 18598592312775672096227328000000, 18010593362453100642354920198403, 26976030982784852054423, 27527532766890059049909308238721132852202164, 536786396870911150175677395994888131154928655, 35672339613279662544615136940887, 915068325296268187140096000000, 271363443307139794638429473458515120, 21981086574931471032097753067174745717876154819], 'label': '10749542400000000.cs.200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044350
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [35378340161773473973168490787843, 19, 16, 271363443307139794638429473458515120, 915068325296268187140096000000, 8863943024101665641110953984015, 536786396870911150175677395994888131154928655, 27527532240638152901684830954612449625930815, 27527532766890059049909308238721132852202164, 18010593362453100642354920198403, 26058175695089889113405786555833349772, 526270820517726586849055690627932816, 81605664670364946228094559530686845703302032083, 35672339613279662544615136940887, 886232917009674177348646124773132410731, 126023, 5760, 8863943024101665264500736000000, 1596968558898435463620562789537764881785087927, 23, 9767721672528131687892702721927, 17637989240281045320826123311673475760, 26976030982784852054423, 105225804614474622477811642301017120730536807655, 81591529236538159397926112763238297121099699292, 18598592312775672096227328000000, 35378340135870352776157627072564, 550551009347451225554106590664426901045445765, 27528713698095364116809874813577491933567380, 35378340135870352775971334918419], 'label': '10749542400000000.cs.200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044351
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [9767721672528131687892702721927, 126023, 81591529236538159397926112763238297121099699292, 5760, 27527532240638152901684830954612449625930815, 35378340161773473973168490787843, 81605664670364946228094559530686845703302032083, 886232917009674177348646124773132410731, 165896428535306871429072238775859952096372329084, 19, 526270820517726586849055690627932816, 35378340135870352776157627072564, 26058175695089889113405786555833349772, 16, 8863943024101665264500736000000, 23, 8863943024101665641110953984015, 27528713698095364116809874813577491933567380, 35378340135870352775971334918419, 17637989240281045320826123311673475760, 1596968558898435463620562789537764881785087927, 18598592312775672096227328000000, 18010593362453100642354920198403, 26976030982784852054423, 27527532766890059049909308238721132852202164, 536786396870911150175677395994888131154928655, 35672339613279662544615136940887, 915068325296268187140096000000, 271363443307139794638429473458515120], 'label': '10749542400000000.cs.200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044352
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [493003698130944000, 372049049788416000, 493715072987136000, 60, 20398254074524233259857749739351048192000000000, 536786370557827456806323203681655193600000000, 19678982400, 165896428535306862892198589647730629222515965444, 776880, 1502640, 79855142614381854720000, 903328163193369889064059435745280000000, 355419187200, 3, 599683400210541733173907575275520000000, 1888372313608552611840000, 17999301201541536121749504000000, 81591529514667418680277752503655100990053361226, 35988116825093780496973824000000, 766800], 'label': '10749542400000000.cs.200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044353
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [523395791724587171394091493289040271174965688, 20398254074524233259859665087816929030102285360, 121666023198720000, 13181364336597128, 526261673867441012369369368211076480, 82651710200794086865026005831948509796728060148, 9217802131333503183190790771246092099, 1073572750062103380650464951734839442791550085, 754198235414840918489052816872926877598522813979, 536786371084089130673710264522611051292771700, 1073572741115655218904360087838274001027148188, 1093680, 20425781581232966222411376434943443715664566983, 13181358149493139, 1496888, 1175456960944678828092, 384853797199872000, 486957031014872899, 62240063767093344405986049562599196748347440599, 23, 19562808545280000, 1073573340527701459858746647459015734979933284, 363600, 20398254691048007034155868843980139054306776880, 1219680, 14135772476191941353649539998134128074878011, 78680172610469148813375, 1596968246817022653859059943002572988651983284, 1496884, 26584437380249439333779974382555826480], 'label': '10749542400000000.cs.200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044354
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [523395791724587171394091493289040271174965688, 20398254074524233259859665087816929030102285360, 121666023198720000, 13181364336597128, 526261673867441012369369368211076480, 82651710200794086865026005831948509796728060148, 9217802131333503183190790771246092099, 1073572750062103380650464951734839442791550085, 536786371084089130673710264522611051292771700, 1073572741115655218904360087838274001027148188, 1093680, 20425781581232966222411376434943443715664566983, 13181358149493139, 83188123979131126455120824989705214998845906032, 1496888, 1175456960944678828092, 384853797199872000, 486957031014872899, 62240063767093344405986049562599196748347440599, 230285185681241715641751603591470260906437946238, 23, 19562808545280000, 1073573340527701459858746647459015734979933284, 363600, 20398254691048007034155868843980139054306776880, 1219680, 14135772476191941353649539998134128074878011, 78680172610469148813375, 1596968246817022653859059943002572988651983284, 1496884, 26584437380249439333779974382555826480], 'label': '10749542400000000.cs.200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044355
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [771120, 174356582400, 622747494130966364160000, 83160968196574543302994544090341215228866627339, 315777214062132212662272000000, 1073572741115654913612646407363310387200000000, 1318503944625305518080000, 27461728753955084149456896000000, 67, 28151109136611901440000, 45, 12804747411456000, 480954850062921757808332078196482845855647852165, 9217802131333451478670355988480000000, 249713497313280000, 295241021878258318770436335206400000000, 82128314695347600891367450163293244620800000000, 111, 363600, 368392147200], 'label': '10749542400000000.cs.200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044356
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 2248001455555216862744, 1046045260991378234387145774854042473101574320, 6423296495616000, 79855142614394827680000, 25903107681057206495280, 104, 27527532495572687356050034912488392158950503, 605518354899955852431175723056812120882298463318, 371714285151347122, 61730805805774778841277212396317276767492468589, 925553903285559933665280041040, 5863, 8691540457467382922774260355120386564, 271353675589166302195057664757625544, 7, 82128314695347600891367450163293244620800000004, 35998602428986199863981682325840, 26536174876572645412970569859760, 26584437390734989273651130188422144000, 26313083693371267190333255544122994483, 131760, 83188123979131126455120824989814034429053075792, 3, 1914173240116647442025627, 59, 771223, 53952034933325170142640, 61716669156554887600395476392624651061539587153, 925553957237594866990448640023, 79855142614381854720000, 616523774101368761951594212061750521045, 82128315598947117760325263559834820710179592939, 271353675587871453478282038768657944, 672203775866691389091224], 'label': '10749542400000000.cs.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044357
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [622747494130966364160000, 42392732105040893567095535959715767493180552961, 82651709306140991904344925386841469747200000000, 1060180981351218469783798427229880320000000000, 106378272000, 26313083693369353016721801216000000000, 19228043907072000, 27145951539892951936794624000000, 1190148998289750014869144794562560000000, 94, 180623520000, 256094948229120000, 119, 1267872820933141463040000, 9767719188486388493844480000000, 806400, 367920, 1093680, 20, 565754872193089858813264510695612942726859432289], 'label': '10749542400000000.cs.200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044358
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1219687, 794470976968723857694560245996678113710614746781, 1219680, 87657292800, 1060180981351218469783798427229880320000000000, 19160064000, 62253455231616758644487175647490421555201583280, 8852650863190120306704385583280, 378095736067631280, 376610217984000, 1219783, 327069374973677170458624000000, 25903107681056687299680, 903328163193369889064059435745280363600, 1181202549834004434843459382149120000000, 1887197221938603295939680, 363600], 'label': '10749542400000000.cs.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: 124044359
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [174356582400, 622747494130966364160000, 20411645834288669703686597719484478259200000000, 17988815623552244375224320000000, 131760, 268719897600, 83188123979131126455120824989814034429053162192, 1596596244806933111756458426213988537590782770, 8946448455745580025685412413440000000, 29, 78680050944432537600000, 141228831744000000, 13516122267648000, 616523773774298119104609528053760000000, 550922116975843703070107182711386931200131760, 327069374973677170458624000000, 56, 773550445131447029646461152267180137033586509975], 'label': '10749542400000000.cs.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: 124044360
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1219687, 106379491680, 1219680, 26313083693369353016721801216000363600, 9146650338351415815045121583280, 19939418764483680, 774596490383746867096310967978602633912954004385, 1046045234933202223520014448200148582400363600, 41319158773188277730258038703354019840000363600, 28151109136611901440000, 371714285150571600, 295767283552125705830770771230721583280, 1219783, 2509944716069569659243600, 6268157280, 35694117349932484988633089583280, 363600], 'label': '10749542400000000.cs.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: 124044361
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [622747494130966365334320, 11, 1190148998289750014869144794562561174320, 41332550532952714174086886683487449907200000000, 82651709306140991904344925386841469747200000000, 773550445131447029646461152267180137033587552535, 12974134320, 26313083693369353016721801216000000000, 27461728753955084149456896000000, 1174320, 60, 9146650338351415815045120000000, 274469091120, 6423296495616000, 250048261951488000, 1596596244806933111756458426213988537591099570, 1267872820933141464214320], 'label': '10749542400000000.cs.240._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044362
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41346686279370730420350670662517181644801583280, 78, 1219680, 1596967351909045926590121630911535513600363600, 607832233316832054686273608089600363600, 18598592312775672096227329583280, 620499492675411150019680, 19160064000, 19562808546499680, 28151109136611901440000, 9217802131333451478670355988481219680, 41332550550590712855018365965547563844668711692, 1583305, 499761759266351280, 274467916800, 83188123979131126455120824989814034429054613712, 35682825189020940030836737219680, 363600], 'label': '10749542400000000.cs.240._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044363
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [773550445131447029646461152267180137033586741815, 21777738900836704321537219680, 1219680, 40795764162394886717280563479805794713601219680, 87657292800, 17637988913211644444021332377600000000, 371337674932224000, 894907976411491696098708459356161219680, 1596967351909045926590121630911535513600000000, 122377398054912000, 18293300676702831630090241219680, 1862469205927495925760000, 355419187200, 25903107681056687299680, 38, 1219703, 1073945047568159364114514176768673192309533396], 'label': '10749542400000000.cs.240._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044364
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [773550445131447029646461152267180137033586741815, 21777738900836704321537219680, 1219680, 40795764162394886717280563479805794713601219680, 87657292800, 17637988913211644444021332377600000000, 371337674932224000, 894907976411491696098708459356161219680, 1596967351909045926590121630911535513600000000, 122377398054912000, 18293300676702831630090241219680, 1862469205927495925760000, 1073945047568159364114514176768673192309210836, 355419187200, 25903107681056687299680, 38, 1219703], 'label': '10749542400000000.cs.240._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044365
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [622747494130966365334320, 11, 1190148998289750014869144794562561174320, 1209600, 82651709306140991904344925386841469747200000000, 958003200, 773550445131447029646461152267180136946887220375, 26313083693369353016721801216000000000, 27461728753955084149456896000000, 1174320, 60, 9146650338351415815045120000000, 6266937600, 13413219120, 6423296495616000, 41332550532952714174086886683487449907200408960, 250048261951488000, 1267872820933141464214320, 1596596244806933111756458426213988357047822130], 'label': '10749542400000000.cs.240._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044366
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [622747494130966365334320, 378095736066048000, 11, 122000787836928000, 1190148998289750014869144794562561174320, 1209600, 82651709306140991904344925386841469747200000000, 365290988654592000, 12974134320, 26313083693369353016721801216000000000, 27461728753955084149456896000000, 1174320, 60, 9146650338351415815045120000000, 274469091120, 41332550532952714174086886683487449907200408960, 1267872820933141464214320, 773550445131447029646461152267538669961107277975, 1596596244806933111756458426085229688620756530], 'label': '10749542400000000.cs.240._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044367
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 2248001455555216862744, 1046045260991378234387145774854042473101574320, 6423296495616000, 79855142614394827680000, 25903107681057206495280, 104, 27527532495572687356050034912488392158950503, 371714285151347122, 61730805805774778841277212396317276767492468589, 925553903285559933665280041040, 5863, 8691540457467382922774260355120386564, 271353675589166302195057664757625544, 7, 82128314695347600891367450163293244620800000004, 35998602428986199863981682325840, 26536174876572645412970569859760, 26584437390734989273651130188422144000, 26313083693371267190333255544122994483, 131760, 83188123979131126455120824989814034429053075792, 3, 1914173240116647442025627, 59, 771223, 53952034933325170142640, 500306314334076901729470773434905947563586426200, 61716669156554887600395476392624651061539587153, 925553957237594866990448640023, 79855142614381854720000, 616523774101368761951594212061750521045, 82128315598947117760325263559834820710179592939, 271353675587871453478282038768657944, 672203775866691389091224], 'label': '10749542400000000.cs.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044368
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [621572402461017048214320, 1174320, 9146650338351415815045120000000, 1209600, 1596596244806933111757051847507312942737395810, 11, 773550445131447029646460504791669994959854709735, 27461728753955084149456896000000, 12974134320, 51704033477769954454320, 250048261951488000, 1292600836944248833174320, 60, 1190148998289750014869144794562561174320, 26313083693369353016721801216000000000, 41332550532952714174086886683487449907200408960, 6423296495616000, 82651709306140991904344925386841469747200000000, 274469091120], 'label': '10749542400000000.cs.240._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044369
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [62240063489490312050716116163645392518590013331, 21471826816166167857931766160115888023294768587, 62240063489218957765351503783192492121469946720, 62240063471852322200658327667357702863375196800, 271354296656749739073182282797101454, 9217802752402950162069385770234045360, 41841809397328089866354482388664304972249907820, 1596967351909045926590121630911535513600000000, 41332922839405218624588754452892812712309251872, 51, 61744196367241383877773564258134481973284931680, 20398254074524233259857751987366019888204113316, 42378595767885916397606901131687975106085008000, 21471826815639888173470396146714358598360064051, 754707866871691972939495498612619415796298799346, 81619056143579900924059864062771870133247584620, 42378595768157288377788308203520642661371622587, 21471826815639888173470396146714358580158129251, 21471826833277877696460619259874097902034621529, 86400, 60, 20398254074524233271149988258056392859417350489, 81619055830972226124653758918774751232000000000, 62240063471852322200658327667369796241678480000, 82651709332454102133890991542312977252804140749, 61744196367241383877773537282103833954029290851, 19562808545406116], 'label': '10749542400000000.cs.288._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044370
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [62240063489490312050716116163645392518590013331, 21471826816166167857931766160115888023294768587, 62240063489218957765351503783192492121469946720, 62790614490409379549473157091804995220998418512, 62240063471852322200658327667357702863375196800, 9217802752402950162069385770234045360, 271354296656749739073182282797101454, 41841809397328089866354482388664304972249907820, 1596967351909045926590121630911535513600000000, 40823663679279023362097190495254089517990424982, 51, 61744196367241383877773564258134481973284931680, 20398254074524233259857751987366019888204113316, 42378595767885916397606901131687975106085008000, 21471826815639888173470396146714358598360064051, 81619056143579900924059864062771870133247584620, 42378595768157288377788308203520642661371622587, 21471826833277877696460619259874097902034621529, 21471826815639888173470396146714358580158129251, 86400, 60, 20398254074524233271149988258056392859417350489, 81619055830972226124653758918774751232000000000, 62240063471852322200658327667369796241678480000, 82651709332454102133890991542312977252804140749, 61744196367241383877773537282103833954029290851, 19562808545406116], 'label': '10749542400000000.cs.288._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044371
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [62240063489490312050716116163645392518590013331, 21471826816166167857931766160115888023294768587, 62240063489218957765351503783192492121469946720, 62240063471852322200658327667357702863375196800, 9217802752402950162069385770234045360, 271354296656749739073182282797101454, 41841809397328089866354482388664304972249907820, 1596967351909045926590121630911535513600000000, 40823663679279023362097190495254089517990424982, 51, 61744196367241383877773564258134481973284931680, 20398254074524233259857751987366019888204113316, 42378595767885916397606901131687975106085008000, 21471826815639888173470396146714358598360064051, 815887749657425901321000326431470265905938762397, 81619056143579900924059864062771870133247584620, 42378595768157288377788308203520642661371622587, 21471826815639888173470396146714358580158129251, 21471826833277877696460619259874097902034621529, 86400, 60, 20398254074524233271149988258056392859417350489, 81619055830972226124653758918774751232000000000, 62240063471852322200658327667369796241678480000, 82651709332454102133890991542312977252804140749, 61744196367241383877773537282103833954029290851, 19562808545406116], 'label': '10749542400000000.cs.288._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044372
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1596967647405002339305288523061038971181672974, 1596967351909045926590121630911535513600000060, 19939418763264089, 51, 20398254074524233259857749739351048192000131820, 753138426418133171996786874611351559744034269995, 20398254074524233259857749739351048192000403260, 734295849322477161050610135909762033889908215019, 243290200817664116, 20398254100582408954947587148723356958720000060, 21471826815639888173471017719116819596247040000, 61744196367241383877773484402971928179812044860, 81619055830972226124653758918774751232000000000, 42378595767885943543558441024639535284224000051, 1596967351909045926590121630911535862832083229, 61744196367241383877775992099686542180843520029, 18010593362453081079545856000000, 20398254673681371796532095852924187443200000060], 'label': '10749542400000000.cs.288._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044373
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1596967647405002339305288523061038971181672974, 1596967351909045926590121630911535513600000060, 19939418763264089, 51, 20398254074524233259857749739351048192000131820, 753138426418133171996786874611351559744034269995, 20398254074524233259857749739351048192000403260, 243290200817664116, 20398254100582408954947587148723356958720000060, 21471826815639888173471017719116819596247040000, 61744196367241383877773484402971928179812044860, 81619055830972226124653758918774751232000000000, 42378595767885943543558441024639535284224000051, 1596967351909045926590121630911535862832083229, 61744196367241383877775992099686542180843520029, 775119140991054500457983331348730990408308215019, 18010593362453081079545856000000, 20398254673681371796532095852924187443200000060], 'label': '10749542400000000.cs.288._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044374
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1596967647405002339305288523061038971181672974, 1596967351909045926590121630911535513600000060, 19939418763264089, 51, 20398254074524233259857749739351048192000131820, 20398254074524233259857749739351048192000403260, 243290200817664116, 20398254100582408954947587148723356958720000060, 21471826815639888173471017719116819596247040000, 61744196367241383877773484402971928179812044860, 794980235815461260937587452539357503040034269995, 81619055830972226124653758918774751232000000000, 42378595767885943543558441024639535284224000051, 1596967351909045926590121630911535862832083229, 61744196367241383877775992099686542180843520029, 775119140991054500457983331348730990408308215019, 18010593362453081079545856000000, 20398254673681371796532095852924187443200000060], 'label': '10749542400000000.cs.288._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044375
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1596967647405002339305288523061038971181672974, 1596967351909045926590121630911535513600000060, 19939418763264089, 51, 20398254074524233259857749739351048192000131820, 20398254074524233259857749739351048192000403260, 734295849322477161050610135909762033889908215019, 243290200817664116, 20398254100582408954947587148723356958720000060, 21471826815639888173471017719116819596247040000, 61744196367241383877773484402971928179812044860, 794980235815461260937587452539357503040034269995, 81619055830972226124653758918774751232000000000, 42378595767885943543558441024639535284224000051, 1596967351909045926590121630911535862832083229, 61744196367241383877775992099686542180843520029, 18010593362453081079545856000000, 20398254673681371796532095852924187443200000060], 'label': '10749542400000000.cs.288._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044376
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [27461728753955084526080086995236, 17637988913211696148067614895922860940, 8946466444561256457061693425390344987, 19562808545290174, 1060181589454823451019427973895361022032832029, 5760, 126000, 27461728753955084149457854124909, 537158954613373409228439119210135926366366872, 26525689272680232469266432000000, 1582831631549241363533002403043199744069222409, 27461728832635135805270995820276, 1596967673463151498219681790626570864305085534, 271389957704224587199277972766787769, 60, 21471826824331464913054673920833664677098406247, 1060181867049642723662155829808214693371306836, 1046045243624751849414156118788587913216403242, 17988815624727349226550426624029, 14135755635845839326042291929324333464844729, 1073572767428774595099447265622969169236066691, 27461728753955084149475617059869, 523395209950557011381869068154067464381747289, 35988116825093780496973824000000, 27461728832635141851957792416036, 81591529514667418680277752503661147676331436029, 89], 'label': '10749542400000000.cs.288._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044459
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26851952064731656428453888000000, 19562808546782640, 1139114, 1502751, 493715072988275040, 958770000, 315777214062132212662273139040, 1073572741115654913612646407363310387200766800, 61730804607476947433944636422838498099201502640, 699179543619843687902640, 599683400210541733173907575275521502640, 1502640, 1596596244806933111756458426213988537591432210, 274467916800, 53952034933325170142640, 26584437368957224469706744791040000000, 766800], 'label': '10749542400000000.cs.480._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044377
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [27461728753955084526080086995236, 17637988913211696148067614895922860940, 8946466444561256457061693425390344987, 19562808545290174, 1060181589454823451019427973895361022032832029, 5760, 126000, 27461728753955084149457854124909, 537158954613373409228439119210135926366366872, 26525689272680232469266432000000, 1582831631549241363533002403043199744069222409, 27461728832635135805270995820276, 1596967673463151498219681790626570864305085534, 271389957704224587199277972766787769, 166419822859813911847304281293242391583918766090, 60, 21471826824331464913054673920833664677098406247, 1046045243624751849414156118788587913216403242, 17988815624727349226550426624029, 14135755635845839326042291929324333464844729, 1073572767428774595099447265622969169236066691, 27461728753955084149475617059869, 523395209950557011381869068154067464381747289, 35988116825093780496973824000000, 27461728832635141851957792416036, 81591529514667418680277752503661147676331436029, 89], 'label': '10749542400000000.cs.288._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044378
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [518918412, 2248021394980684772419, 26058176316158766224395932011071728077, 21777738900836704340696064007, 4, 83188123979131126455120824989814034429053075792, 21994478030245298388775148503400619074055331770, 271353697365610353821647902842982964, 41063, 5763, 16, 19228062628092260, 375233179292194180483020202038258903324222452034, 733263938669871152761402358384829976000420282766, 28151109847987276601535, 17637988934989385592859868864569395127, 1073572750333475044247377035089419304374416063, 27527523820451077024017879406555735968809126, 1569440436718488367913322449287750329594868597, 506519820399404160, 1582831614708858653126304024033113064613545678, 26058176316158766224396643373992842183, 9217802131333452653769160622561063535, 14135773002454540774938710320300153958070980, 81605665260830526906485522820095896432972445392, 18010593440060241466510326743074, 327069400876785228126486147851, 12972965764, 376629378048012, 86416], 'label': '10749542400000000.cs.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044379
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [27461728753955084526080086995236, 17637988913211696148067614895922860940, 8946466444561256457061693425390344987, 19562808545290174, 1060181589454823451019427973895361022032832029, 5760, 126000, 27461728753955084149457854124909, 26525689272680232469266432000000, 1582831631549241363533002403043199744069222409, 27461728832635135805270995820276, 1596967673463151498219681790626570864305085534, 271389957704224587199277972766787769, 60, 21471826824331464913054673920833664677098406247, 1046045243624751849414156118788587913216403242, 17988815624727349226550426624029, 165896428535306862282421900424444137051252329040, 14135755635845839326042291929324333464844729, 1073572767428774595099447265622969169236066691, 27461728753955084149475617059869, 523395209950557011381869068154067464381747289, 35988116825093780496973824000000, 27461728832635141851957792416036, 81591529514667418680277752503661147676331436029, 89], 'label': '10749542400000000.cs.288._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044380
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26584473651073524724782750105600000042, 42365204008121506479467325831786637688832000051, 26525689272680232469266432000000, 27461728753955084149725176812829, 27461728753955084149470308044829, 146517436471427979942685339706964948785691981327, 19228043907072000, 2561648749547339612160000, 35988116825093780496973824000060, 35988117471394198969098240000094, 1537920, 14135746418042771953056659262201004032000051, 35988116825094036591922053120094, 1189877644614162143416159850987520000089, 89, 1128960, 105721672326662868447017792621876998912242410770], 'label': '10749542400000000.cs.288._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044381
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26584473651073524724782750105600000042, 42365204008121506479467325831786637688832000051, 26525689272680232469266432000000, 27461728753955084149725176812829, 27461728753955084149470308044829, 146517436471427979942685339706964948785691981327, 19228043907072000, 2561648749547339612160000, 35988116825093780496973824000060, 35988117471394198969098240000094, 1537920, 14135746418042771953056659262201004032000051, 35988116825094036591922053120094, 1189877644614162143416159850987520000089, 89, 105721672326662868447017792621876998912242410862, 1128960], 'label': '10749542400000000.cs.288._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044382
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26584473651073524724782750105600000042, 146517436471427979942685339706964948785691981320, 42365204008121506479467325831786637688832000051, 26525689272680232469266432000000, 27461728753955084149725176812829, 27461728753955084149470308044829, 19228043907072000, 2561648749547339612160000, 35988116825093780496973824000060, 35988117471394198969098240000094, 1537920, 14135746418042771953056659262201004032000051, 35988116825094036591922053120094, 1189877644614162143416159850987520000089, 89, 105721672326662868447017792621876998912242410862, 1128960], 'label': '10749542400000000.cs.288._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044383
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26584473651073524724782750105600000042, 146517436471427979942685339706964948785691981320, 42365204008121506479467325831786637688832000051, 26525689272680232469266432000000, 27461728753955084149725176812829, 27461728753955084149470308044829, 19228043907072000, 2561648749547339612160000, 35988116825093780496973824000060, 35988117471394198969098240000094, 1537920, 14135746418042771953056659262201004032000051, 35988116825094036591922053120094, 1189877644614162143416159850987520000089, 89, 1128960, 105721672326662868447017792621876998912242410770], 'label': '10749542400000000.cs.288._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044384
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [74, 1266799911147535564800000, 12454041600, 1073572741115654913612646407363310387200000000, 262518244724736000, 21981085680015262940184087391232851968000000000, 165896428535306862892198589648223632920648371044, 373680, 8946448455745580025685412413440000000, 28151109136611901440000, 499385149046784000, 915068325296268187140096000000, 81591529514667418680277752503296191452315006666, 111, 599157138536674346113573139251200000000, 87218208000, 1180080, 8842165285200828560179200000000], 'label': '10749542400000000.cs.288._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044385
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [936846142877155835894689728023, 244001575673856000, 621068851310308350331058208015, 21966949942543713442968473190087620350011721766, 19678982404, 1209600, 61730804608003209423589316225356091231742854411, 1060180981877480459428400724788198975589312020, 27527523820442518372655651622085431688070412, 82142450746208004638345287447296379658211264090, 500096524423477680, 11292162086880629334315936012, 262518244724736000, 82128314695618982018198498757296731848437708176, 20920904716030715402141440039133582226677488672, 20398254100837316975004842832245225254528185623, 754198235414840918489052816873170167799340029419, 2248501552098797318400, 19679356095, 6266937600, 40795764171341370867143520414128133555448522174, 271354601141776987046429320396470967, 18010595844247072531730212252114, 500096543064623280, 373680], 'label': '10749542400000000.cs.288._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044386
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [936846142877155835894689728023, 244001575673856000, 621068851310308350331058208015, 21966949942543713442968473190087620350011721766, 19678982404, 1209600, 61730804608003209423589316225356091231742854411, 83188123979131126455120824989826504411827729952, 1060180981877480459428400724788198975589312020, 210947485449982178022292327866368484660364905002, 27527523820442518372655651622085431688070412, 82142450746208004638345287447296379658211264090, 500096524423477680, 11292162086880629334315936012, 262518244724736000, 82128314695618982018198498757296731848437708176, 20920904716030715402141440039133582226677488672, 20398254100837316975004842832245225254528185623, 2248501552098797318400, 19679356095, 6266937600, 40795764171341370867143520414128133555448522174, 271354601141776987046429320396470967, 18010595844247072531730212252114, 500096543064623280, 373680], 'label': '10749542400000000.cs.288._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044387
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [122000800292552880, 244001575673856000, 1209607, 1596967351909045926590121630911535513600000000, 1209600, 262518244725109758, 599412046534953861721307150733042873600, 17892896911491160051755343859442873600, 83188123979131126455120824990198553461616145952, 61207409996683556420967161199552791217525502800, 17683523987479403909087232000000, 35694117349932484988633088000000, 187836222678708580047067619638629101405615442398, 1888372557610128285696000, 262518244725109680, 372049230413519280, 621572786980049608704000, 773550444836477361138496562304161609216614744241], 'label': '10749542400000000.cs.288._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044388
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [262518244725109758, 122000800292552880, 372049230413519280, 1209600, 17892896911491160051755343859442873600, 1596967351909045926590121630911535513600000000, 244001575673856000, 1888372557610128285696000, 61207409996683556420967161199552791217525502800, 621572786980049608704000, 35694117349932484988633088000000, 599412046534953861721307150733042873600, 17683523987479403909087232000000, 83188123979131126455120824990198553461616145952, 773550444836477361138496562304161609216614744241, 187836222678708580047067619638629101405614787198, 1209607, 262518244725109680], 'label': '10749542400000000.cs.288._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044460
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [599412046534953861720922631700481139040, 620499492675411149939040, 17892896911491160051370824826881139040, 41319158773188277730258038703354019840000000000, 8852650863190120306704384000000, 1046045234933202223520014448200148582401139040, 1139040, 41332550550590712855018365965547563844669754252, 1267872820933141464179040, 1596596244806933111756458426213988537591790050, 1139070, 493003698130944000, 35672339611031648284311552000000, 1139063, 6423296495616000, 267763033440, 361686124800], 'label': '10749542400000000.cs.480._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044389
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [3, 21981085680541534370479796875268787002274215827, 732726781461122695240914660584233664509767834871, 958003207, 5764, 13412095920, 14135746418016551557282521095688447439939200, 2248001455568627536576, 1060180981351218785561634061771312416391056011, 710702866108755854504349647995307417965318449380, 11, 14135746418017161333427779249302506362188164, 16, 26584437684736326904639857782415360003, 12972965771, 25903108392525466543447, 1582831614182570769347529374032192217340067726, 271354296658584057183489551104356480, 21981086565721892349593362534000612475027879827, 78680051655807393882736, 376629896972179, 925555146430365567075188320580, 936847953642347848434954307688, 83188123979131126455120824989814034429053075792, 925553904460651603633318109288, 17366635564693794265151594194145280003, 21981085697381899114655814024840816940753319834, 550922117247197683951504153760902271059079776, 11292212615578812177481347859], 'label': '10749542400000000.cs.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044390
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [262518244725109758, 122000800292552880, 372049230413519280, 1209600, 17892896911491160051755343859442873600, 1596967351909045926590121630911535513600000000, 244001575673856000, 1888372557610128285696000, 773550444836477361138496562304399187495792984241, 61207409996683556420967161199552791217525502800, 621572786980049608704000, 35694117349932484988633088000000, 599412046534953861721307150733042873600, 17683523987479403909087232000000, 83188123979131126455120824990198553461616145952, 187836222678708580047067619638629101405614787198, 1209607, 262518244725109680], 'label': '10749542400000000.cs.288._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044391
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [122000800292552880, 244001575673856000, 1209607, 1596967351909045926590121630911535513600000000, 1209600, 262518244725109758, 599412046534953861721307150733042873600, 17892896911491160051755343859442873600, 773550444836477361138496562304399187495792984241, 83188123979131126455120824990198553461616145952, 61207409996683556420967161199552791217525502800, 17683523987479403909087232000000, 35694117349932484988633088000000, 187836222678708580047067619638629101405615442398, 1888372557610128285696000, 262518244725109680, 372049230413519280, 621572786980049608704000], 'label': '10749542400000000.cs.288._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044392
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [493003698130944000, 648548419927679631360000, 87657292800, 107, 847440, 19939418763264000, 42, 590465598079208281695237219287040000000, 1941149256871928463360000, 500292550294962473930815128297465143747655177630, 41318787961327195646333557458739004511628859552, 536786370557827456806323203681655193600000000, 480968612652440174173131092433015671858090090957, 5760, 17999301201541536121749504000000, 354980102400, 35988116825093780496973824000000, 41319158773188277730258038703354019840000000000, 26584437368957224469706744791040000000], 'label': '10749542400000000.cs.288._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044393
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [958003200, 524959107744145507444451479779389129160109846979, 20411645834288669703686597719484478259200000000, 13516122267648000, 26584437368957224469706744791040000000, 83188123979131126455120824989814034429053071546, 13763761774570489146665538904246542225052119, 609776689223427721003008000000, 1139040, 55, 620499492675411148800000, 371714285150208000, 77607141158826639360000, 590465598079208281695237219287040000000, 41346686279370730420350670662517181644800000000, 26851952064731656428453888000000, 274467916800, 73, 1542240], 'label': '10749542400000000.cs.288._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044394
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [13181371041484812, 2248001455574894342408, 526261989644655074501582030921107255, 518918400, 20, 7224940800, 20920905610683748426527958374887551092830668877, 847440, 14135746418016246266317476683323829646672073, 609776740927480761931178131204, 27527506182453311161536046177532009622579176, 17637988934989409247985280577340320037, 936846064197104891461632725771, 305291690024875776079700290671, 1537920, 11292160911544957797310003220, 51704053040598178268167, 315777265766165690445198643216, 11292214863823892710606662539, 61716668861585210566850019836431553880680514558, 17637989544766072568285757702144403203, 1582831605491047363850325131785474622497171216, 489600, 17637988913211724299176751506866901768, 6266937603, 41346686279370730736127884724669333725835753607], 'label': '10749542400000000.cs.320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044395
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [523395496754919274017115741981441800454323171, 3, 2248001455573936460900, 51120, 17892897227268452793560739983342342403, 13181376350540903, 20920905593317131482206076007455653046361292820, 26584437380249411284379323075814355140, 17366635259401513066984325901637382411, 1060181007664302784222001579168362017412179127, 1139040, 27527524075349601583844889665892412603142403, 14135764056005769252119894487375705942425527, 295241039583560125005826698018045747127, 1046046120894730179266182225269478323658675216, 52879138663842056966415, 14136363468052304206007518530492949025075287, 62763086697685649994827998708584957538745454075, 19228043907072015, 12, 1569439872039676951644582764405307612725171303, 519040092, 83174360243143386217864747236722221778712985695, 271353675587872628077324918373376003, 11292160911564520618309324804, 12454092732, 711388268358495], 'label': '10749542400000000.cs.320._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044396
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 51149, 1269047912603090780281680, 774596490383746867096310967978602633912953762465, 20411645834288669703686597719484478259200051120, 35672339611031648284311552000000, 13412095920, 181062604800, 506519820398592000, 371337674932275120, 1207515633527373787860181183365120121680, 27145951539892951936794624051120, 51120, 20, 25903107681056686201680, 26058175695089837409372308766720000000], 'label': '10749542400000000.cs.320._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044397
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1269047912603090780281680, 621068850134972678799360000000, 40795764162394886717280563479805794713600051120, 1914173239405265879040000, 35988116825093780496973824051120, 8691540457466064418335919964160051120, 599683400210541733173907575275520051120, 6266937600, 753675584495476505172939891003244275594008852313, 99, 121666023198720000, 121762, 51120, 12804747411507120, 354980102400, 62790241602174586101293498851172076748800121680], 'label': '10749542400000000.cs.320._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044398
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1269047912603090780281680, 621068850134972678799360000000, 40795764162394886717280563479805794713600051120, 1914173239405265879040000, 35988116825093780496973824051120, 8691540457466064418335919964160051120, 599683400210541733173907575275520051120, 6266937600, 99, 121666023198720000, 121762, 51120, 12804747411507120, 354980102400, 62790241602174586101293498851172076748800121680, 753675584495476505172939891003244275594007683753], 'label': '10749542400000000.cs.320._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044399
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [523395496754919274017115741981441800454323171, 3, 41332550550590712855018365965547563844669477052, 2248001455573936460900, 51120, 17892897227268452793560739983342342403, 13181376350540903, 20920905593317131482206076007455653046361292820, 26584437380249411284379323075814355140, 17366635259401513066984325901637382411, 1060181007664302784222001579168362017412179127, 1139040, 27527524075349601583844889665892412603142403, 14135764056005769252119894487375705942425527, 295241039583560125005826698018045747127, 1046046120894730179266182225269478323658675216, 52879138663842056966415, 14136363468052304206007518530492949025075287, 19228043907072015, 12, 1569439872039676951644582764405307612725171303, 519040092, 83174360243143386217864747236722221778712985695, 271353675587872628077324918373376003, 11292160911564520618309324804, 12454092732, 711388268358495], 'label': '10749542400000000.cs.320._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044400
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587872628076613525316620162, 493715072987136000, 1046045260991378234387145774854042473101574320, 51704033477769954051120, 6423296495616000, 53952284646823440690059, 27527532495572687356050034912488392158950503, 2248251169052528640081, 925553903285559933665280041040, 7, 8946448455747469471158520070222140184, 376610217984000, 4, 229776299687463118579832138709181491662323453326, 35998602428986199863981682325840, 493715072987902882, 26536174876572645412970569859760, 26584437390734989273651130188422144000, 10183, 131760, 372049049789912883, 82128314999535072140441613157431934235475592855, 41319159980432585021996883265498662113765074615, 1318504194338821992195175, 53952034933325168640016, 61730804928759699329985083057801500752615017575, 710702866108755854504349647995307417965318449380, 1267873070646638777091175, 925553957237594866990448640023, 79855142614381854720000, 372049049788416078, 616523774101368761951594212061750521045, 82128314695347600891367450163293244620800766804, 249713497313280000, 61730804911919325788008324400371526871720806425], 'label': '10749542400000000.cs.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044494
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [41319158773188277730258038703354020195419187311, 20948432204846506928212109409554627297280000073, 20411645834288669703686677574627092641054720094, 83160968197100804040015841101066707927040000115, 1073572741115682059564186300315247181824000016, 61194018236919119977138313219156842905600000000, 83160968170516366671059262931778435260416000115, 61744568656072344809664671767825707126641564178, 20948432204846497160492920923166133452800489715, 41319158773188277730258038703354019928176211311, 20948432204846497160492920923166133452800806473, 814332072679363491889696929483293050143430245793, 62790241602174586101293498851178500045295616016, 486957011853312073, 41319159363653875809466320398591239127040000055, 73, 1073572741115654913612646407363310387200000111], 'label': '10749542400000000.cs.576._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044401
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1046045260991378528389076826763711013232953572, 1060181007935664680906359802183516950798515231, 8691540479243880926314494494416492816, 82114922952949799706940116323156029274831180887, 79855161842444482771220, 18721100891, 82128314712985590719647419903717569947773337692, 20398254091890895327655902513370142020558636943, 536786379504302438241228788968686169374310349, 51704033854393144224020, 925553929188687554140729465692, 1175104851307465600088, 41332550533479002395421365180405723300363219273, 4, 376617442924823, 958124880, 2248014260315080979292, 82114922935854519059972589537417932914194643312, 13181358587564899, 27527532495536699239201286147390087777030407, 17637988934989410320894731406585395207, 27527515128901167615977861703121819284377524, 21777764803957190144354636887, 1139040, 40795764753386782468959903191757207423005647953, 526262283644078531776793940691840087, 15, 42392360111977243334090117265979165060344070408, 51120, 12972960000], 'label': '10749542400000000.cs.320._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044402
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [912274611649115469089744848158720051120, 19160185680, 14135746418016246263783979029731737600000000, 51180, 28151109136611901440000, 493715072987187120, 19228043907072000, 42392360111977243334090117265979165060344070408, 88176211200, 4, 327069374973677170458624000000, 62763086697685649994827998708584957538744330875, 1266799911147535564921680, 35694117349932484988633088051120, 1189622736615882627808810358538240051120, 51120, 42365204008121479953778053151554168422400000000], 'label': '10749542400000000.cs.320._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044403
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [912274611649115469089744848158720051120, 19160185680, 14135746418016246263783979029731737600000000, 51180, 42392360111977243334090117265979165060345238968, 28151109136611901440000, 493715072987187120, 19228043907072000, 88176211200, 4, 327069374973677170458624000000, 62763086697685649994827998708584957538744330875, 1266799911147535564921680, 35694117349932484988633088051120, 1189622736615882627808810358538240051120, 51120, 42365204008121479953778053151554168422400000000], 'label': '10749542400000000.cs.320._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044404
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [912274611649115469089744848158720051120, 19160185680, 14135746418016246263783979029731737600000000, 51180, 42392360111977243334090117265979165060345238968, 28151109136611901440000, 493715072987187120, 19228043907072000, 88176211200, 4, 327069374973677170458624000000, 1266799911147535564921680, 35694117349932484988633088051120, 1189622736615882627808810358538240051120, 51120, 42365204008121479953778053151554168422400000000, 62763086697685649994827998708584957538745454075], 'label': '10749542400000000.cs.320._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044405
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [912274611649115469089744848158720051120, 19160185680, 14135746418016246263783979029731737600000000, 51180, 28151109136611901440000, 493715072987187120, 19228043907072000, 42392360111977243334090117265979165060344070408, 88176211200, 4, 327069374973677170458624000000, 1266799911147535564921680, 35694117349932484988633088051120, 1189622736615882627808810358538240051120, 51120, 42365204008121479953778053151554168422400000000, 62763086697685649994827998708584957538745454075], 'label': '10749542400000000.cs.320._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044406
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 51149, 1269047912603090780281680, 20411645834288669703686597719484478259200051120, 35672339611031648284311552000000, 13412095920, 181062604800, 506519820398592000, 371337674932275120, 1207515633527373787860181183365120121680, 27145951539892951936794624051120, 774596490383746867096310967978602633912952588145, 51120, 20, 25903107681056686201680, 26058175695089837409372308766720000000], 'label': '10749542400000000.cs.320._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044407
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [376622673245292, 8946448467037742112335556281377141688, 519724800, 20, 271353697365687960982369545173416320, 27527523549114757890758932257170213557152007, 62240063498165424198622379695257665709960998446, 78680051655826554229683, 41118, 536786379775647576955398234597097794668968343, 14135755635854049936924096496289293279990420, 731520, 8691541067242755889777901277020240652, 19939438443466096, 2248001455568628982339, 6268515120, 27528391889108929675533855491683439238933925, 6758073588239296, 26584473661559181394138245816999993603, 536786388195843221972591780107507822458133799, 21777740075947937099078113920, 1502643, 41040, 26313083715147118893595200257001571692, 14135763784651483887635650117776360009411123], 'label': '10749542400000000.cs.384._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044408
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [731520, 486957011853795840, 312862565114161607368822216458240000000, 1198569185071628207834495770951680000000, 186811355520, 349232083200, 35694117349932484988633089577520, 1046045234933202223520014448200148582401577520, 2248001455555216937520, 483895, 1941149256871928464540080, 6423296495616000, 327069374973677170458625180080, 41319158773188277730258038703354019840000731520, 83188123979131126455120824989814034429053514272, 483885], 'label': '10749542400000000.cs.384._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044409
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [731520, 486957011853795840, 83188123979131126455120824989814034429053836832, 312862565114161607368822216458240000000, 1198569185071628207834495770951680000000, 186811355520, 349232083200, 35694117349932484988633089577520, 1046045234933202223520014448200148582401577520, 2248001455555216937520, 483895, 1941149256871928464540080, 6423296495616000, 327069374973677170458625180080, 41319158773188277730258038703354019840000731520, 483885], 'label': '10749542400000000.cs.384._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044410
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [243290219978575456, 14135746418051918603396185769685998469967447, 1582831614708858641836030309965477718439071939, 62776849842410159435671978995730952641869371616, 1492560, 250424872169472000, 536786379249367936052688172090783850441911795, 122377398054912000, 847440, 499761759264768000, 1569440436192209315007672088084562639205947583, 272113603596934680755162096215599688112966918306, 128047474115285764, 1537920, 77607141159188327022735, 2248501217589467452804, 61744196688795507448702436411736358821974338576, 250424872688764103, 1582831614182570137792479677481260320793154495, 11292213790811334609381122648, 26976504423943157651300, 17638015460678657200201404133150266976, 621068850134991907023891368880, 17637989534280496827495228665796710411, 523395209950556085827915202670224166420078122, 2248020683611578011539, 271354601141800642152320337446279760, 7134671351859135], 'label': '10749542400000000.cs.400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044411
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [18720979200, 9146650365327804995992854614404, 958003200, 564186176655834072630219610348875006701203761445, 9217802131334694623968281733677994183, 1863644297597445242880055, 13516122267689040, 35682827051490396383204832734699, 82128315016901706462995123125543051011677189760, 16, 355419187200, 77607141158826639360082, 536786370557827456806323203681655561992147200, 55, 4, 925553956164698262742179920655, 21779601370043008427681240939, 14136641071084659475964470388698993712083200, 26058175695089837409372308785880064000, 493338462769157819, 776880, 79855143325756710917863, 5841, 599683400210541733173907575294680064000, 376802619720237555766181088803290563163574808253, 131783, 41040, 79855149749053206573419, 295767283552125705830770771230720000000, 1175463384234467338187, 107, 78680544282895306762184, 526261673867387060334436130698272000], 'label': '10749542400000000.cs.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044412
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [21981085993149182666780871307204841518959580080, 20425781580706685949950381698514209996800010080, 20425781580706685949950381698514209996800000000, 20425781580706685949950381698514209997758013309, 81605664071734051376471925272132828124401715219, 20920904698664044481692502754673077431384304539, 41346686279370730420350723541642329544693930179, 550922116975843703070108357803433758497004219, 42378968056971803294011413529874809648253075765, 82651709306140991904344925386841469747200000000, 42365204034434563668925819520640659306990383459, 20425781580706685949950381698514210015520989309, 81605664097520873395972029832224428304034154219, 550922116975844628625951617540997285328220288, 82114922935583164447538602183159814553600000000, 41346686297008719344854504169449414772460134459, 29, 21981086870164287777403595635559896293172202205, 734309985085727355145744095743315332588154039659, 45, 40795764162394886728572751367381023932401949427, 41346686279370730420350670662530363183053040640, 26058175706383860790123570670173747229, 21981085697381898493587014520755674426749008669, 550922116975843703070107182711387286619187229, 1569439872311031226523590179542613033504947383, 20425781580706685949950383946516042343296035311, 67, 82651709306140991904344925386842181122056202091, 1569439845726593236497515574856054946109651120], 'label': '10749542400000000.cs.400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044506
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26058184547740700599492615471104000107, 631555746628209050630062080007, 607832269304948879780054105063424000107, 186817704932591159582705075626525828119894314850, 42, 61207409996683565589395238451542792339456000042, 18620370051676508800548864000000, 27461728753955084149456896131867, 36282116302503077460869775360000, 8852650863190120306704384000060, 18620370051676508800741941561642, 523394610793400181405552475800744493056000000, 8852650863190120306704385496909, 631554428124405654156288000007, 18620370051676515223845359616116, 1046417845046914441676253000504307249768538199, 18620370051676508800648975334400], 'label': '10749542400000000.cs.576._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044413
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [21981085993149182666780871307204841518959580080, 20425781580706685949950381698514209996800010080, 20425781580706685949950381698514209996800000000, 20425781580706685949950381698514209997758013309, 81605664071734051376471925272132828124401715219, 20920904698664044481692502754673077431384304539, 41346686279370730420350723541642329544693930179, 550922116975843703070108357803433758497004219, 42378968056971803294011413529874809648253075765, 82651709306140991904344925386841469747200000000, 42365204034434563668925819520640659306990383459, 20425781580706685949950381698514210015520989309, 81605664097520873395972029832224428304034154219, 550922116975844628625951617540997285328220288, 82114922935583164447538602183159814553600000000, 41346686297008719344854504169449414772460134459, 29, 21981086870164287777403595635559896293172202205, 45, 40795764162394886728572751367381023932401949427, 41346686279370730420350670662530363183053040640, 26058175706383860790123570670173747229, 21981085697381898493587014520755674426749008669, 733277703005262715791578235228142946356439302483, 550922116975843703070107182711387286619187229, 1569439872311031226523590179542613033504947383, 20425781580706685949950383946516042343296035311, 67, 82651709306140991904344925386842181122056202091, 1569439845726593236497515574856054946109651120], 'label': '10749542400000000.cs.400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044414
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [21981085993149182666780871307204841518959580080, 20425781580706685949950381698514209996800010080, 20425781580706685949950381698514209996800000000, 20425781580706685949950381698514209997758013309, 81605664071734051376471925272132828124401715219, 20920904698664044481692502754673077431384304539, 41346686279370730420350723541642329544693930179, 550922116975843703070108357803433758497004219, 42378968056971803294011413529874809648253075765, 82651709306140991904344925386841469747200000000, 42365204034434563668925819520640659306990383459, 20425781580706685949950381698514210015520989309, 81605664097520873395972029832224428304034154219, 550922116975844628625951617540997285328220288, 82114922935583164447538602183159814553600000000, 41346686297008719344854504169449414772460134459, 29, 21981086870164287777403595635559896293172202205, 45, 40795764162394886728572751367381023932401949427, 41346686279370730420350670662530363183053040640, 26058175706383860790123570670173747229, 21981085697381898493587014520755674426749008669, 550922116975843703070107182711387286619187229, 1569439872311031226523590179542613033504947383, 20425781580706685949950383946516042343296035311, 21967321936133651255269554583719064245722433883, 67, 82651709306140991904344925386842181122056202091, 1569439845726593236497515574856054946109651120], 'label': '10749542400000000.cs.400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044415
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [81605664079899366430894741974145558795184126651, 40795764162394886739058355259768358135969794525, 42365204008121479953778053151566973169811456099, 550923020575387119497388050468567859156835699, 82114922953221153970527608054135398080509669099, 67, 20920904698664044470400341843148058799006634183, 82651709306140991915637086298393562221170755710, 1569439845726593857568848576346163516770042208, 42365204008121479953778053151554879797256192011, 1569439845997946923377523211383461164749814429, 82651709332199167599434788699322171132274070339, 20425781580706685949950381698514209996800086400, 82114922935583164447538604431167693405311752909, 12454041600, 19160064000, 20425781580706685949950381698514209996800000000, 82114922935583164447538602183159814553600000000, 40795764162394886739059596156571824620595475299, 20425781580706685949950381698533438046974050640, 29, 40795764162666240719939077779288842256162676619, 40823664252369736251745286429092907882624945389, 82114922936109426742474919233974500158466466525, 20425781580706685949950381698514209997318924189, 45, 82651709306140991904344925386841469747200000000, 20425781580706685949950381698514209996800005760], 'label': '10749542400000000.cs.400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044416
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [81605664079899366430894741974145558795184126651, 40795764162394886739058355259768358135969794525, 42365204008121479953778053151566973169811456099, 550923020575387119497388050468567859156835699, 82114922953221153970527608054135398080509669099, 67, 20920904698664044470400341843148058799006634183, 81605665260822330920189342759499188547565956509, 82651709306140991915637086298393562221170755710, 1569439845726593857568848576346163516770042208, 42365204008121479953778053151554879797256192011, 1569439845997946923377523211383461164749814429, 82651709332199167599434788699322171132274070339, 20425781580706685949950381698514209996800086400, 82114922935583164447538604431167693405311752909, 12454041600, 19160064000, 20425781580706685949950381698514209996800000000, 41346686583286847078766752008793398586476577760, 82114922935583164447538602183159814553600000000, 20425781580706685949950381698533438046974050640, 40795764162394886739059596156571824620595475299, 29, 40795764162666240719939077779288842256162676619, 82114922936109426742474919233974500158466466525, 20425781580706685949950381698514209997318924189, 45, 82651709306140991904344925386841469747200000000, 20425781580706685949950381698514209996800005760], 'label': '10749542400000000.cs.400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044417
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [815378490793321862535060219645283990918517649744, 81605664071207789680824963817766468896524486989, 82114922962167602426272544027403417053474809543, 67, 20425781580706685949950381698514209996800121680, 81605664097265965996983652435021242057007420183, 42365204034434563647149965569024061516203211551, 21981085680015262940184087391232851968001129019, 12972960029, 42365204008121480879331957612218953395584573309, 20425781580706685949950461553676387199654163280, 40795764483677638918613320639130825560408997771, 82651709332725429284594364720147668481280099747, 1569439872039695244945311171263657056366417939, 20920904716556942002960376757487634120040920910, 20425781580706685949950381698514209996800000000, 40795764162921149012216826578233771951596367440, 41346686305428924714032847823714235640934984349, 20425781580706685949950381698514586607018755179, 82114922935583164447538602183159814553600000000, 29, 45, 82651709306140991904344925386841469747200000000, 20425781580706685949950381698514209996800005760, 958003229, 21981085680015262940184089639234307536627410627], 'label': '10749542400000000.cs.400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044418
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [81605664071207789680824963817766468896524486989, 82114922962167602426272544027403417053474809543, 67, 20425781580706685949950381698514209996800121680, 81605664097265965996983652435021242057007420183, 42365204034434563647149965569024061516203211551, 21981085680015262940184087391232851968001129019, 12972960029, 42365204008121480879331957612218953395584573309, 20425781580706685949950461553676387199654163280, 732754680691712213970492580613386038763348105589, 40795764483677638918613320639130825560408997771, 82651709332725429284594364720147668481280099747, 1569439872039695244945311171263657056366417939, 20920904716556942002960376757487634120040920910, 20425781580706685949950381698514209996800000000, 40795764162921149012216826578233771951596367440, 41346686305428924714032847823714235640934984349, 20425781580706685949950381698514586607018755179, 82114922935583164447538602183159814553600000000, 29, 45, 82651709306140991904344925386841469747200000000, 20425781580706685949950381698514209996800005760, 958003229, 21981085680015262940184089639234307536627410627], 'label': '10749542400000000.cs.400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044419
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61716668878696946931066824966772944799638099790, 17999301203789551093439441059736, 518918400, 20398254978123750128816132953177067731467550166, 9462427631093599348763120585052, 26830174325830820100743088912528, 9146650338351415815045120005786, 6706022400, 14135763784652093664272096601522606121017674, 8852650863190120306704384000000, 271371359111858932408792099756288638, 550922126193654687054448828026036374808851846, 61207782285514499342267521857190707509641031784, 18293300676702838764767858826252, 61730804625369844345437114978173887663334390426, 536786683691773392507344166583771529040409440, 41319158791081183788402096506888751496915850246, 26584455368259746763196082086041343980, 60, 27145951539892951936794624000000, 8852650863190120306704384126086, 86, 14135755364482995310068859155296008495202648, 38, 26313084303146042240162703589091481626, 8946449065522320953153369247535190412, 82114922961641358435929194975414697849805199928, 26536174850669524215791616000000], 'label': '10749542400000000.cs.400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044420
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [18293300676702838764761591808012, 60, 271380211762773826549395216464093280, 1073572750062121662658981815951236754634956780, 17683523987479403909087232010106, 526288210042237729877879859843082088, 8852650863190120306704384000000, 1060180981351245615735418175344370915760912554, 26536174928276678890753496058780, 8852650863190120683314601984048, 82651709324033906815137312882868902302557117526, 536786370829198815918236088105817804232431470, 14135746418043392215326119996305445068890768, 526279967168090739196714135732579710, 8852650863190133822826651693390, 17999301203789537953927910394798, 61207782285514499342267521857190707509641031784, 26536174850669530973852749945740, 9146650364254523496102325008554, 17366662067798101070101570165913770166, 38, 166942845459650755726270006052471368575917348546, 82651710191847612177589361487549083337725762670, 26536174850669530639107271680048, 27145951539892951936794624000000, 86, 82651709332199194429610952271581148721339683260, 26536174850669524215791616000000, 20935040445353441538203538241024079888978645772], 'label': '10749542400000000.cs.400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044421
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [18293300676702838764761591808012, 60, 271380211762773826549395216464093280, 1073572750062121662658981815951236754634956780, 17683523987479403909087232010106, 526288210042237729877879859843082088, 8852650863190120306704384000000, 1060180981351245615735418175344370915760912554, 26536174928276678890753496058780, 8852650863190120683314601984048, 82651709324033906815137312882868902302557117526, 536786370829198815918236088105817804232431470, 14135746418043392215326119996305445068890768, 526279967168090739196714135732579710, 8852650863190133822826651693390, 17999301203789537953927910394798, 146544592001650277947407886825487441642367341430, 61207782285514499342267521857190707509641031784, 26536174850669530973852749945740, 9146650364254523496102325008554, 17366662067798101070101570165913770166, 38, 82651710191847612177589361487549083337725762670, 26536174850669530639107271680048, 27145951539892951936794624000000, 86, 82651709332199194429610952271581148721339683260, 26536174850669524215791616000000, 20935040445353441538203538241024079888978645772], 'label': '10749542400000000.cs.400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044422
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [18720979200, 9146650365327804995992854614404, 958003200, 564186176655834072630219610348875006701203761445, 9217802131334694623968281733677994183, 1863644297597445242880055, 13516122267689040, 35682827051490396383204832734699, 82128315016901706462995123125543051011677189760, 16, 355419187200, 77607141158826639360082, 536786370557827456806323203681655561992147200, 55, 4, 925553956164698262742179920655, 21779601370043008427681240939, 14136641071084659475964470388698993712083200, 26058175695089837409372308785880064000, 493338462769157819, 776880, 271617736509155892863784601548309482818787693474, 79855143325756710917863, 5841, 599683400210541733173907575294680064000, 131783, 41040, 79855149749053206573419, 295767283552125705830770771230720000000, 1175463384234467338187, 107, 78680544282895306762184, 526261673867387060334436130698272000], 'label': '10749542400000000.cs.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044423
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [40809901098690574723659298641146343459586339200, 925553930261584158408677132175, 1175456960950944803760, 26313083998663497859551958056008623455, 83188495685916639491787169483806630942832828868, 51704033477789113389363, 25903120485823257610099, 8946449065522322128494376102668550339, 21777741148838159883976422491, 371337674932224000, 25903107681056686080008, 371337674932265043, 78680050944444991722240, 14135755109574409031652385003518898369530743, 1582831623129018920609918718695144947196906160, 27527515400255736494487414159407694809440091, 6758080293974403, 378095736066048000, 90720, 81591529514667418680277752503526676905720937466, 271353675587923157274516293741328487, 79855520710118878812263, 62239692069525650574401722625110827169530136374, 256094948229120000, 9217802741112080778567164114344099696, 10080, 903073264962809561943233242869245030400, 41040], 'label': '10749542400000000.cs.400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044424
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [243290219978575456, 14135746418051918603396185769685998469967447, 1582831614708858641836030309965477718439071939, 62776849842410159435671978995730952641869371616, 1492560, 250424872169472000, 536786379249367936052688172090783850441911795, 122377398054912000, 847440, 499761759264768000, 1569440436192209315007672088084562639205947583, 210947485449982178022292327866476969325933943082, 1537920, 128047474115285764, 77607141159188327022735, 2248501217589467452804, 61744196688795507448702436411736358821974338576, 250424872688764103, 1582831614182570137792479677481260320793154495, 11292213790811334609381122648, 26976504423943157651300, 17638015460678657200201404133150266976, 621068850134991907023891368880, 17637989534280496827495228665796710411, 523395209950556085827915202670224166420078122, 2248020683611578011539, 271354601141800642152320337446279760, 7134671351859135], 'label': '10749542400000000.cs.400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044425
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [526262588936359832612150400168954758, 526262588935712356622562601900294394, 11292160911552092480157975638, 83174359930552156801769411149627656345222364838, 131760, 6706022400, 26, 526261673867388235912686381539507366, 14136068227039278601085435854875443439622376, 621068850134985483559225619306, 376623630034598, 13763761774570489146665538904246542224648882, 14135755364465029081246675241734165622932398, 19228063586095478, 42392732105040893567095535959715767493180472288, 86400, 19160064000, 519040128, 14135755364473859953750465020233187378278456, 86, 12, 17892897216784065172373942510735344568, 52879125859094645601150, 8946448761037216098897216232166287448, 936846066445106347016847405416, 1582831605491030290103647375064718448293706800, 41040], 'label': '10749542400000000.cs.400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044426
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [27527532495545845889563292541048413817088560, 1569440445138666917402942989676359498999309998, 526270820517804091814000262801181448, 27145951541068056411510073645946, 609776689223427721022687104166, 62776850138177459745765827871319313161930446776, 609776689223434479077553949466, 8852650863190120306704384000000, 8852650863190120683327056071008, 60, 27145951539892951936794624000000, 1046045851457002533995543623101547033691091150, 86, 27528122961161608621806564074496061395148800, 38, 17683523987479403909087750928480, 1582831632075467049283590272716913571561686958, 13412044800, 9146650415958557350482496307790, 1060181007664311309804730692657543636511000332, 26313092840019744247263475355246597798, 17683523987479403909087232010106, 26536174850669524215791616000000, 1582831631804113373695742372649887521818783408, 104703153694847086240971736186676551117410873482], 'label': '10749542400000000.cs.400._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044427
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [18293300676702838764761591808012, 60, 271380211762773826549395216464093280, 1073572750062121662658981815951236754634956780, 17683523987479403909087232010106, 526288210042237729877879859843082088, 8852650863190120306704384000000, 1060180981351245615735418175344370915760912554, 26536174928276678890753496058780, 8852650863190120683314601984048, 82651709324033906815137312882868902302557117526, 536786370829198815918236088105817804232431470, 14135746418043392215326119996305445068890768, 526279967168090739196714135732579710, 20398254978123768422116809656008697821707550088, 8852650863190133822826651693390, 17999301203789537953927910394798, 146544592001650277947407886825487441642367341430, 26536174850669530973852749945740, 9146650364254523496102325008554, 17366662067798101070101570165913770166, 38, 82651710191847612177589361487549083337725762670, 26536174850669530639107271680048, 27145951539892951936794624000000, 86, 82651709332199194429610952271581148721339683260, 26536174850669524215791616000000, 20935040445353441538203538241024079888978645772], 'label': '10749542400000000.cs.400._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044428
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [40809901098690574723659298641146343459586339200, 925553930261584158408677132175, 1175456960950944803760, 26313083998663497859551958056008623455, 83188495685916639491787169483806630942832828868, 51704033477789113389363, 166406058516257096569696191107618629644382106305, 25903120485823257610099, 8946449065522322128494376102668550339, 21777741148838159883976422491, 371337674932224000, 25903107681056686080008, 371337674932265043, 78680050944444991722240, 14135755109574409031652385003518898369530743, 1582831623129018920609918718695144947196906160, 27527515400255736494487414159407694809440091, 6758080293974403, 378095736066048000, 90720, 271353675587923157274516293741328487, 79855520710118878812263, 256094948229120000, 9217802741112080778567164114344099696, 10080, 903073264962809561943233242869245030400, 41040], 'label': '10749542400000000.cs.400._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044429
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [1582832795113767233055083610075277314831385739, 17637988934989383344986084173251285771, 1492560, 27527532766890995895974578137778863461948202, 41869337216373142743657273218688474891564117886, 250424872169472000, 11292160911807476041077461775, 122377398054912000, 26313119691971784251146471528685158401, 847440, 499761759264768000, 28151596093623754752016, 734296221011887826061019818456407411208766265724, 271354612433935650109063080579561608, 26313084314438203151713708078946054407, 128047474115285764, 1537920, 295767284183680160931545667015651564839, 17892897543045588176128253856261692167, 243290201336985603, 26584438305803290915075610059837036816, 621068850135215969000696704099, 14136953407414941236723225767642493909928963, 550923307124860591413676899545791654156885751, 14135746689370858697720804454526924926549859, 19228043907193700, 327069374973677170458624725764], 'label': '10749542400000000.cs.400._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044430
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [18293300676702838764761591808012, 60, 271380211762773826549395216464093280, 1073572750062121662658981815951236754634956780, 17683523987479403909087232010106, 526288210042237729877879859843082088, 8852650863190120306704384000000, 105225804927082253057521364011973895654453401454, 1060180981351245615735418175344370915760912554, 26536174928276678890753496058780, 8852650863190120683314601984048, 82651709324033906815137312882868902302557117526, 536786370829198815918236088105817804232431470, 14135746418043392215326119996305445068890768, 526279967168090739196714135732579710, 8852650863190133822826651693390, 82128687296769754957241477030076790980723632664, 17999301203789537953927910394798, 26536174850669530973852749945740, 9146650364254523496102325008554, 17366662067798101070101570165913770166, 38, 82651710191847612177589361487549083337725762670, 26536174850669530639107271680048, 27145951539892951936794624000000, 86, 82651709332199194429610952271581148721339683260, 26536174850669524215791616000000, 20935040445353441538203538241024079888978645772], 'label': '10749542400000000.cs.400._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044431
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [243290219978575456, 14135746418051918603396185769685998469967447, 1582831614708858641836030309965477718439071939, 62776849842410159435671978995730952641869371616, 1492560, 250424872169472000, 536786379249367936052688172090783850441911795, 122377398054912000, 847440, 499761759264768000, 1569440436192209315007672088084562639205947583, 272113603596934680755162096215599688112966918306, 128047474115285764, 1537920, 77607141159188327022735, 2248501217589467452804, 61744196688795507448702436411736358821974338576, 250424872688764103, 1582831614182570137792479677481260320793154495, 11292213790811334609381122648, 26976504423943157651300, 17638015460678657200201404133150266976, 621068850134991907023891368880, 17637989534280496827495228665796710411, 2248020683611578011539, 62267219575181806528063992836587083600007365872, 271354601141800642152320337446279760, 7134671351859135], 'label': '10749542400000000.cs.400._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044432
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [61716668878696946931066824966772944799638099790, 17999301203789551093439441059736, 518918400, 9462427631093599348763120585052, 26830174325830820100743088912528, 9146650338351415815045120005786, 6706022400, 14135763784652093664272096601522606121017674, 8852650863190120306704384000000, 271371359111858932408792099756288638, 550922126193654687054448828026036374808851846, 18293300676702838764767858826252, 61730804625369844345437114978173887663334390426, 536786683691773392507344166583771529040409440, 41319158791081183788402096506888751496915850246, 26584455368259746763196082086041343980, 60, 27145951539892951936794624000000, 8852650863190120306704384126086, 86, 14135755364482995310068859155296008495202648, 38, 26313084303146042240162703589091481626, 8946449065522320953153369247535190412, 83188124274109008360684762777230278447818613014, 82114922961641358435929194975414697849805199928, 26536174850669524215791616000000], 'label': '10749542400000000.cs.400._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044433
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [61730804625114937272710262832470708581842591931, 12804753678438976, 1596967369547035145095937893678429930795059184, 754198235414840918489052816873170167799340110059, 16, 61730805510805111564160615587110882973535068807, 19160074103, 14135746418017171817741216644538153518007063, 26976036694713716332812, 3, 82142451631914615743158541753658062700094499760, 711387829152012, 1596968541786691466306247012682975974312755849, 550922412743128170264138310244060394163608989, 186280546854737984211373132561598006345660304702, 2248021018731633914164, 1207515642989801394225764521269914082484, 41841809406019630323820546806994178262586277780, 131776, 376610218029367, 83188495685390359840395131764857926430308054895, 8946449087300036301322203969985327482, 83188496267164418061428381595837497730634639451, 621068876038093541213675530080, 711381123139696, 10092, 1569439845726594162051421108423867302156160080, 958048563, 271353675587871452991701636692823056, 1175098093258266868339, 17366636163177727980642981607876771680], 'label': '10749542400000000.cs.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044434
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [243290219978575456, 14135746418051918603396185769685998469967447, 1582831614708858641836030309965477718439071939, 62776849842410159435671978995730952641869371616, 1492560, 250424872169472000, 536786379249367936052688172090783850441911795, 122377398054912000, 847440, 499761759264768000, 1569440436192209315007672088084562639205947583, 128047474115285764, 1537920, 77607141159188327022735, 2248501217589467452804, 61744196688795507448702436411736358821974338576, 250424872688764103, 1582831614182570137792479677481260320793154495, 11292213790811334609381122648, 26976504423943157651300, 17638015460678657200201404133150266976, 621068850134991907023891368880, 17637989534280496827495228665796710411, 210424090543964219955013340820750239737490363443, 2248020683611578011539, 271354601141800642152320337446279760, 7134671351859135, 62790613890734201883178356931639894319923603279], 'label': '10749542400000000.cs.400._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044435
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [74, 20920904698664044470400288964002971648000000000, 372049049788416000, 2508769624399620341760000, 1318503944625305518080000, 271353675587871452984943575040000000, 1596967351909045926590121630911535513600000000, 1583280, 41318787961327195646333610236156043541704251638, 249713497313280000, 186810624000, 396154456853043064946270250547305254928323450233, 94, 903328163193369889064059435745280000000, 25, 18010593362453081079545856000000, 1128960, 371714285150208000, 518918400, 8842165285200828560179200000000], 'label': '10749542400000000.cs.400._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044436
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [7134671351808000, 131760, 52879125147719270400000, 725760, 79855142614381854720000, 94, 506519820398592000, 885961527955746116073023046942720000000, 119, 61716668861058931187680852443808766361600000000, 327069374973677170458624000000, 41318787961327195646333610235682267887480379638, 35694117349932484988633088000000, 88176211200, 53952034933325168640000, 81, 500292550294962473930813914376679143931360777630, 355419187200, 616523773774298119104609528053760000000, 82651709306140991904344925386841469747200000000], 'label': '10749542400000000.cs.400._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044437
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [8691540457466763597899479226609750499, 17892896911492429099296944059087872029, 14135755364464713302843420211862117339536099, 41318787961327195646336039252345937469386299617, 8691540457468572115050533978603530109, 67, 958003303, 26313083693370671520666426521518080000, 355419187259, 11, 1180931214157717764932497140987233697231, 1569439854673068239710780458065807697912932411, 2534672732457287764742503, 82128686697357734958463032475404063774956076755, 622747494130966364160000, 526261673868009807828943601421062503, 26584437368959759142452006825697280059, 536786388450724379592178839342700025845872491, 29, 8691541078536233057272786883850419391, 271380505764680252881031586414407779, 2507696714614014443520000, 2534672732080677027840000, 11294695584290219831967409230, 1569439845997982584427455125087339261476105139, 21994477761333840638466442480145439944651038848], 'label': '10749542400000000.cs.400._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044438
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [51120, 7134671351808000, 87657292800, 1073572741115654913612646407363310387200000000, 16, 1914173239405265879040000, 23, 1175091669949317120000, 903328163193369889064059435745280000000, 186810624000, 61716668861058931187680852443808766361600000000, 1189622736615882627808810358538240000000, 174356582400, 8, 26841466486742364681928704000000, 766800, 256094948229120000, 18293300676702831630090240000000, 689245546164274111756432165794259182931119171950], 'label': '10749542400000000.cs.400._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044439
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [77607141158826639360000, 26851952064731656428453888000000, 378095736066048000, 11, 41841809397328088940800577928005943296000000000, 250424872169472000, 87657292800, 620499492675411148800000, 524959107744145507444451479779389129160109917539, 373680, 67, 29, 609776689223427721003008000000, 82114551828226152781078296293085209616725460577, 82128314695347600891367450163293244620800000000, 1537920, 12972960000, 599157138536674346113573139251200000000, 489600, 1181202549834004434843459382149120000000], 'label': '10749542400000000.cs.400._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044440
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [771120, 83188123979131126455120824989814034429053162192, 13412892240, 599683400210541733173907575275520000000, 732754308698385432301660497053985262271241169810, 26841466486742364681928704847440, 1266799911147535564800000, 131760, 122377398054912000, 1046045234933202223520014448200148582400771120, 1596596244806933111757699323017455016470586370, 20398254074524233259857749739351048192000771120, 371714285150208000, 8863943024101665264500736847440, 1219705, 8691540457466064418335919964160000000, 1175091669949317120000, 1889445223394158510080000, 349232083200, 103], 'label': '10749542400000000.cs.400._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044441
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [128047474114560000, 41332550532952714174086886683487449907200000000, 599412046534953861720922631700480000000, 210947485449982178022292327866489774073346734682, 36303894039155912709636096000000, 181581523200, 67, 166406058516257096569696191107496963621183028465, 673276435938787000320000, 249713497313280000, 2534672732080677027840000, 295241021878258318770436335206400000000, 104, 21777738900836704321536000000, 1139040, 51120, 20425781580706685949950381698514209996800000000, 274467916800], 'label': '10749542400000000.cs.400._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044442
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [186280546854738019882906160670993079386044304662, 53952034933325168640000, 82651709306140991904344925386841469747200000000, 36303894039155912709636096000000, 14135746418016246263783979029731737600000000, 2508769624399620341760000, 303916116658416027343136804044800000000, 90720, 146544592001650305093359426718439378436991341463, 403200, 609776689223427721003008000000, 193077561600, 256094948229120000, 48, 100111334400, 25, 7134671351808000, 26584437368957224469706744791040000000], 'label': '10749542400000000.cs.400._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044443
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [771120, 83188123979131126455120824989814034429053162192, 599683400210541733173907575275520000000, 26841466486742364681928704847440, 88177340160, 193077561600, 93405312000, 131760, 122377398054912000, 1046045234933202223520014448200148582400771120, 732754308698385432301660549933110409815714773650, 20398254074524233259857749739351048192000771120, 1914173239405265879040000, 371714285150208000, 8863943024101665264500736847440, 1219705, 8691540457466064418335919964160000000, 1269047912603090780160000, 103, 1596596244806933111756458426213988437999096850], 'label': '10749542400000000.cs.400._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044444
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 1596967352180426454130110694678055268065469376, 21777741148851341247353881683, 79855161842432028810244, 376610217984023, 16, 26313102008447847300460642869377804183, 51136, 2248021394986951635132, 1569441044550686328184246863531594432475379872, 754198235414840918489052816873170167799340110059, 814855467290156864936443724550198472434191730431, 925553956164698262742179920655, 6758061133875120, 3, 1046045234933202833296781278769739880308869780, 271617736509155892863784601548309482818787693474, 5772, 40823291677523797315063232857743724140446717326, 1073572750062130221310319316070759531255592887, 26313083693369430623876141406535869380, 936846090100218995815771750328, 8946467054340400498072834037293424009, 27527506708714679737258984744249702617660248, 1060180990297667840599643825550129179004197776, 52879137952466681936660, 1569439872039712602206507672159816033330973360, 14135746418016562041026192290643833291680007, 12973040640], 'label': '10749542400000000.cs.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: 124044445
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 526261673867387060334436036774041603, 35998602428986199863981682325840, 375233179292194180483020202038258903324222452034, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 3, 10083, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 586166890038080193557303145368784695599090555356, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 689245546164274111756432165794259183017299543150, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044446
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [771120, 13412892240, 599683400210541733173907575275520000000, 26841466486742364681928704847440, 372049049789187120, 131760, 83188123979131126455120824989692745016073065552, 1046045234933202223520014448200148582400771120, 1596596244806933111756458426213988537591866370, 493715072987136000, 20398254074524233259857749739351048192000771120, 1914173239405265879040000, 8863943024101665264500736847440, 1219705, 8691540457466064418335919964160000000, 250048261951488000, 732754308698385432301660549933238457464625852610, 349232083200, 1269047912603090780160000, 103], 'label': '10749542400000000.cs.400._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044447
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [103, 775091613501704225616760875244091395564154039685, 53952034933325168640000, 18293300676702831630090240000000, 267761894400, 847440, 295767283552125705830770771230720000000, 1134720, 775091613206997661431743065806880743710548105605, 1887197221938603294720000, 40795764162394886717280563479805794713600000000, 249713497313280000, 119, 894653068413212180491358966906880000000, 13412044800, 26841466486742364681928704000000, 372289085886896404512398187211158653075865, 41319158773188277730258038703354019840000000000, 7134671351808000], 'label': '10749542400000000.cs.400._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044448
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1318503944625305519219040, 523394610793391012977475223548225126401502640, 7, 1139099, 493003698130944000, 2508769624399620341760000, 9217802131333451478670355988480766800, 83188123979131126455120824989814034429053030432, 384853797200638800, 18598592312775672096227329502640, 6268440240, 349232850000, 1502640, 11292160911544957796353502640, 295241021878258318770436335206401139040, 1139040, 21981085680015262940184087391232851968000766800], 'label': '10749542400000000.cs.480._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044449
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 51704033477769953280000, 18720979200, 620499492675411148800000, 1073572741115654913612646407363310387200000000, 1198569185071628207834495770951680000000, 27461728753955084149456896000000, 271353675587871452984943575040000000, 6758061133824000, 249713497313280000, 48, 81619428710268776283103011140741416637045607200, 87218208000, 18010593362453081079545856000000, 753152562772654748699293899742242229117427454222, 82], 'label': '10749542400000000.cs.480._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044450
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1046045234933202223520014448200148582401139040, 1267872820933141464179040, 493003698130944000, 1139070, 8852650863190120306704384000000, 267763033440, 35672339611031648284311552000000, 361686124800, 1139063, 1596596244806933111756458426213988537592147890, 599412046534953861720922631700481139040, 6423296495616000, 1139040, 620499492675411149939040, 17892896911491160051370824826881139040, 41319158773188277730258038703354019840000000000, 41332550550590712855018365965547563844669396412], 'label': '10749542400000000.cs.480._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044451
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [122377398054953040, 8852650863190120306704384000000, 107, 41040, 41078, 295241021878258318770436335206400041040, 371337674932224000, 19679023440, 1240896803466478878761040, 894381714737624309038374023331840041040, 81605664071207789680824910938641321164800041040, 925553903285559933665280041040, 2509944716069569658880000, 100111334400, 732754308698385432301660549933110409990510476130, 1073572741115654913612646407363310387200041040], 'label': '10749542400000000.cs.480._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044452
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [646300418472124416000000, 87657292800, 41114, 321554105571627671787158136422400041040, 41040, 61730804607476947433944636422838498099200041040, 26536174850669524215791616041040, 18721020240, 1941149256871928463360000, 305291636072840466137088041040, 13516122267648000, 41151, 42365204008121479953778053151554168422400041040, 903328163193369889064059435745280000000, 486957011853312000, 754198235414840918489052816873170167799340070459], 'label': '10749542400000000.cs.480._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044453
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1889445223394158510080000, 646300418472124416766800, 30, 106378272000, 274468683600, 7134671352574800, 523394610793391012977475223548225126400766800, 295495929876537834377785827655680000000, 9462427552413548027707392000000, 16, 35694117349932484988633088000000, 9217802131333451478670355988480000000, 41332550550590712855018365965547563844669402172, 256094948229886800, 1596596244806933111756458426213988537591795810, 61207409996683556420967161199290272972800766800, 766800], 'label': '10749542400000000.cs.480._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044454
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [18010593362453081079545857174320, 622747494130966364160000, 174357756720, 82651709306140991904344925386841469747200000000, 1207515633527373787860181183365121174320, 499761759264768000, 83188123979131126455120824989814034429053030432, 1174320, 134805535249558320, 732754308698385432301660549933110409990511166610, 9217802131333451478670355988480000000, 281173939200, 104, 1888372313608552611840000, 27145951539892951936794625174320, 1060180981351218469783798427229880320001174320, 1174380], 'label': '10749542400000000.cs.480._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044455
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41332550550590712855018365965547563844668263132, 2248001455555215401040, 958044240, 41040, 1569439845726593236497489671748373708800041040, 83188123979131126455120824989814034429053030432, 506519820398633040, 29, 19228043907072000, 305291636072840466137088041040, 83188495676698819361151248590523124940800000000, 281173939200, 2534672732080677027840000, 912274611649115469089744848158720041040, 526261673867387060334436024320000000, 56, 17999301201541536121749504000000], 'label': '10749542400000000.cs.480._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044456
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 526261673867387060334436036774041603, 35998602428986199863981682325840, 375233179292194180483020202038258903324222452034, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 83188123979131126455120824989814034429053075792, 10083, 3, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 586166890038080193557303145368784695599090555356, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044457
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26830174325830819724132352000000, 61744196367241383877773484402971928166401139040, 19680121440, 17366635237623772991036388802561139040, 733277703291557280067443194920050642989468098516, 13516122268787040, 536786370557827456806323203681655193601139040, 29, 93405312000, 81, 1862469205927495925760000, 1139040, 599157138536674346113573139251200000000, 371714285150208000, 1266799911147535565939040, 8863943024101665264500736000000], 'label': '10749542400000000.cs.480._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044458
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [174356582400, 61744196367241383877773484402971928166401139040, 19562808546782640, 599157138536674346113573139251200766800, 122000787836928000, 26976017466662585459040, 17988815623552244375224320000000, 766903, 321554105571627671787158136422400766800, 1502640, 26536174850669524215791616000000, 19680485040, 41332550550590712855018365965547563844669754252, 21981085680015262940184087391232851968001139040, 1139065, 622747494130966364926800, 766800], 'label': '10749542400000000.cs.480._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044461
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [27527532495536383461987223899600115227139765, 13516122269231292, 550922134342514928810758146653797050045753063, 42365204616479992943780017191657220074593625712, 13516122269231299, 27527523820451055246329507491719885321811204, 41332550532952714174086886683500966029468056985, 26058175716867653917357306587206622731, 83188123979131126455120824989698791702350693232, 25903108057673610495368, 13516122269231283, 13516122267648000, 26584437390734989273671069950151320416, 1209600, 41332550550590712855018365965419851135191991772, 376610737311376, 51704046282517366319288, 11292160911564185840778806899, 526261673867388235439622114627330487, 26584437696026599443384626979501468723, 19562808545280000, 19939418763264000, 27527532240629310737047105642575787930867252, 27527515128901755614952912309772991720330176, 1175104474696728949687, 373680], 'label': '10749542400000000.cs.480._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044462
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [14135746944278856978504284401225135332298092, 11294048108766896399647128983, 1267872820933141463040000, 1889445223394158511531520, 27527532495545845892046159300680649024047303, 20948432526655537256089382172998613283478668900, 1266799911147535565208960, 2248001455555735045204, 550922126193663823220450086453809347554867271, 816480, 2509944716069583071333767, 2509944716069569658880019, 732754308698385432301660497053985262271241537730, 523394611319653013915506305491997509628259680, 526261685161437417122350793995507220, 925555792730802890652015158880, 608103605612789980063768808137112716874, 1073572741115672924207275660368718833475997292, 1582831606017292291039788909340694077203302407, 14135764310913179535192876459138907924885696, 18721110967, 1175092046560493238971, 1267872840495969687302412, 1596967360855494992114898576758845772715782423, 83188123979131126455119585165920353556074001952, 2509944716069569658880004, 373680], 'label': '10749542400000000.cs.480._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044463
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 51704033477769953280000, 18720979200, 753152562772654748699293899742242229117427493822, 620499492675411148800000, 1073572741115654913612646407363310387200000000, 1198569185071628207834495770951680000000, 27461728753955084149456896000000, 271353675587871452984943575040000000, 6758061133824000, 249713497313280000, 48, 81619428710268776283103011140741416637045607200, 87218208000, 18010593362453081079545856000000, 82], 'label': '10749542400000000.cs.480._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044464
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [1060180998989208004064293006588847895334549722, 19562901951408500, 1582832795368692914860445845008833927713824060, 27527532240628385182522247667752962142339772, 62790242192640184180501832250565151558828703415, 106378272000, 82665101075123230479509114290887878012522501763, 51, 816480, 174357756724, 621068903014110631627728797296, 1582831605762384292760973554553091929448761663, 21777741149100678476456607454, 1060180981351218469783876034390978572629148100, 26058175706381998321417028515415503943, 79855142614563437826480, 732754308698385432301660549933110409815714849970, 526262294936291147585714978605640903, 174357756731, 526262599421344297930014571207171680, 925553905533574905449142731527, 88176211200, 174357756732, 711374856192015, 271354285364638283560246894261304500, 1175098804982355052811, 373680, 361686124800], 'label': '10749542400000000.cs.480._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044465
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [1060180998989208004064293006588847895334549722, 19562901951408500, 1582832795368692914860445845008833927713824060, 27527532240628385182522247667752962142339772, 62790242192640184180501832250565151558828703415, 106378272000, 82665101075123230479509114290887878012522501763, 51, 816480, 174357756724, 621068903014110631627728797296, 1582831605762384292760973554553091929448761663, 21777741149100678476456607454, 1060180981351218469783876034390978572629148100, 537159258800834912360454523216703697205459222, 26058175706381998321417028515415503943, 79855142614563437826480, 526262294936291147585714978605640903, 1582831623129018615316342620240022742220956925, 174357756731, 526262599421344297930014571207171680, 925553905533574905449142731527, 88176211200, 174357756732, 711374856192015, 271354285364638283560246894261304500, 1175098804982355052811, 373680, 361686124800], 'label': '10749542400000000.cs.480._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044466
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [1060180998989208004064293006588847895334549722, 19562901951408500, 1582832795368692914860445845008833927713824060, 27527532240628385182522247667752962142339772, 62790242192640184180501832250565151558828703415, 106378272000, 82665101075123230479509114290887878012522501763, 51, 816480, 174357756724, 621068903014110631627728797296, 1582831605762384292760973554553091929448761663, 21777741149100678476456607454, 1060180981351218469783876034390978572629148100, 537159258800834912360454523216703697205459222, 26058175706381998321417028515415503943, 79855142614563437826480, 526262294936291147585714978605640903, 174357756731, 526262599421344297930014571207171680, 925553905533574905449142731527, 88176211200, 174357756732, 711374856192015, 271354285364638283560246894261304500, 754198235414840918489052816873170167799340029419, 1175098804982355052811, 373680, 361686124800], 'label': '10749542400000000.cs.480._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044467
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 104703154302942468982442952372635657925609934040, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 526261673867387060334436036774041603, 35998602428986199863981682325840, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 3, 10083, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 586166890038080193557303145368784695599090555356, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 689245546164274111756432165794259183017299543150, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044468
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [27527532495536383461987223899600115227139765, 13516122269231292, 550922134342514928810758146653797050045753063, 42365204616479992943780017191657220074593625712, 13516122269231299, 27527523820451055246329507491719885321811204, 41332550532952714174086886683500966029468056985, 26058175716867653917357306587206622731, 25903108057673610495368, 13516122269231283, 13516122267648000, 26584437390734989273671069950151320416, 1209600, 376610737311376, 51704046282517366319288, 11292160911564185840778806899, 526261673867388235439622114627330487, 26584437696026599443384626979501468723, 19562808545280000, 19939418763264000, 27527532240629310737047105642575787930867252, 27527515128901755614952912309772991720330176, 1175104474696728949687, 373680, 754198235414840918489052816872932924284799997419], 'label': '10749542400000000.cs.480._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044469
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [27527532495536383461987223899600115227139765, 13516122269231292, 550922134342514928810758146653797050045753063, 42365204616479992943780017191657220074593625712, 13516122269231299, 27527523820451055246329507491719885321811204, 41332550532952714174086886683500966029468056985, 26058175716867653917357306587206622731, 83188123979131126455120824989698791702350693232, 25903108057673610495368, 13516122269231283, 13516122267648000, 26584437390734989273671069950151320416, 1209600, 732754308698385432301660549932758258513905589170, 376610737311376, 51704046282517366319288, 11292160911564185840778806899, 526261673867388235439622114627330487, 26584437696026599443384626979501468723, 19562808545280000, 19939418763264000, 27527532240629310737047105642575787930867252, 27527515128901755614952912309772991720330176, 1175104474696728949687, 373680], 'label': '10749542400000000.cs.480._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044470
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [14135746944278856978504284401225135332298092, 11294048108766896399647128983, 1267872820933141463040000, 1889445223394158511531520, 27527532495545845892046159300680649024047303, 20948432526655537256089382172998613283478668900, 1266799911147535565208960, 2248001455555735045204, 550922126193663823220450086453809347554867271, 754198235414840918489052790970062486742655123739, 816480, 2509944716069583071333767, 2509944716069569658880019, 523394611319653013915506305491997509628259680, 526261685161437417122350793995507220, 925555792730802890652015158880, 608103605612789980063768808137112716874, 1073572741115672924207275660368718833475997292, 1582831606017292291039788909340694077203302407, 14135764310913179535192876459138907924885696, 18721110967, 1175092046560493238971, 1267872840495969687302412, 1596967360855494992114898576758845772715782423, 2509944716069569658880004, 373680], 'label': '10749542400000000.cs.480._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044542
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [121666023199088031, 19939418763631920, 186280546854737984211373132561719630523278245742, 26313083693369353017221562975264858720, 1198569185071628207834867820001468506720, 20920905289401031592245736698991131456553306202, 41346686279370730420350670662652363790266368000, 8842165285201315851955693093200, 646300905763900909093200, 372049405728059520, 135182145467941204, 372049224145366320, 1573200, 20411645834288669703686597719856527308989635680, 135182145466368000, 26830174325831075819080582657920, 1941149378537951662170720], 'label': '10749542400000000.cs.576._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044471
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [14135746944278856978504284401225135332298092, 11294048108766896399647128983, 1267872820933141463040000, 1889445223394158511531520, 27527532495545845892046159300680649024047303, 20948432526655537256089382172998613283478668900, 1266799911147535565208960, 2248001455555735045204, 550922126193663823220450086453809347554867271, 816480, 2509944716069583071333767, 2509944716069569658880019, 523394611319653013915506305491997509628259680, 526261685161437417122350793995507220, 925555792730802890652015158880, 608103605612789980063768808137112716874, 1073572741115672924207275660368718833475997292, 1582831606017292291039788909340694077203302407, 14135764310913179535192876459138907924885696, 18721110967, 1175092046560493238971, 41332550550590712855020229507663276946492751292, 1267872840495969687302412, 1596967360855494992114898576758845772715782423, 83188123979131126455119585165920353556074001952, 2509944716069569658880004, 373680], 'label': '10749542400000000.cs.480._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044472
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [499761759266264880, 1496880, 27527506182452690092631959163161804801174320, 82651709306140991904344925386841469747201174320, 36303894039155912709636096000000, 20935040462448696869358085454808500278512654750, 181062604800, 25903107681056686080000, 364956224017880880, 303916116658416027343136804044801537920, 88176211200, 41043, 894907976411491696098708459356160000000, 21777738900836704321536000000, 699179543619843686400000, 1537920, 41100, 733277703291557280067443194920050642989466636916], 'label': '10749542400000000.cs.480._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044473
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [78, 7, 61207409996683556420967161199290272972800000000, 1207515633527373787860181183365120000000, 1269047912603090780160000, 243290200817664000, 27461728753955084149456896000000, 1596967351909045926590121630911535513600000000, 13516122267648000, 349232093280, 186811798320, 79855142614381854720000, 17683523987479403909087232000000, 774596490383746867096310967978602633912953394545, 754198235414840918489052816873170167799340074779, 26058175695089837409372308766720000000], 'label': '10749542400000000.cs.480._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044474
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1496880, 27527506182452690092631959163161804801174320, 82651709306140991904344925386841469747201174320, 36303894039155912709636096000000, 181062604800, 13516122267648000, 371714285151704880, 303916116658416027343136804044801537920, 88176211200, 698004451949894369280000, 41043, 20935040462448696869357490858423505924049895150, 894907976411491696098708459356160000000, 733277703291557280067442522818706374151783436916, 21777738900836704321536000000, 1537920, 41100, 2509944716069569658880000], 'label': '10749542400000000.cs.480._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044475
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1219680, 26851952064731656428453888000082, 122000787836928000, 250424872169472000, 82142450441765617137631234142322976358400000000, 20920904698664044470400288964002971648000000000, 2508769624399620341760000, 35378340135870352775970816000015, 268719897600, 1318503944625305518080000, 616523773774298119104609528053760000000, 403200, 146544592001650287105350386088448214483839341508, 526261673867387060334436024320000000, 83188123979131117308470486638398219383933075792, 12972960000, 187849615002888635166606694098948439730069345231], 'label': '10749542400000000.cs.480._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044476
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [771120, 599412046534953861720922631700480000008, 8691540457466064418335919964160000025, 122000787836928000, 61207409996683556420967161199290272972800000000, 230285557674305391768894373363046811460386887649, 90720, 21994850622992392421277766790023415561907137814, 19678982400, 2561648749547339612160000, 609776689223427721003008000000, 355419187200, 209350517524447907884734745369761246175765372261, 41319158773188277730258038703354019840000000000, 7134671351808000, 1175091669949317120000, 8842165285200828560179200000000], 'label': '10749542400000000.cs.480._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044477
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [21777738900836704321536000000, 27527506182452690092631959163161804801174320, 894907976411491696098708459356160000000, 13516122267648000, 82651709306140991904344925386841469747201174320, 41043, 1537920, 25903107681056686080000, 20935040462448696869358085454808500266058613150, 371714285151704880, 1496880, 303916116658416027343136804044801537920, 41100, 699179543619843686400000, 187768627200, 36303894039155912709636096000000, 19678982400, 733277703291557280067443194920050643163823219316], 'label': '10749542400000000.cs.480._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044478
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 104703154302942468982442952372635657925609934040, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 526261673867387060334436036774041603, 35998602428986199863981682325840, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 83188123979131126455120824989814034429053075792, 10083, 3, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 586166890038080193557303145368784695599090555356, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044479
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [9217802131333451478670355988481209600, 408960, 1889445223394158510080000, 1209686, 523394610793391012977475223548225126401583280, 646300418472124416131760, 41332550550590712855018365965547563844668343772, 373680, 274468683600, 295495929876537834377785827655681451520, 61207409996683556420967161199290272972801583280, 1174376, 35694117349932484988633088000000, 7134671352982320, 1596596244806933111756458426213988537592188930, 256094948229886800, 9462427552413548027707393451520, 1174380, 106379088480], 'label': '10749542400000000.cs.480._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044480
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [9217802131333451478670355988481209600, 408960, 1451550, 1889445223394158510080000, 523394610793391012977475223548225126401583280, 646300418472124416131760, 41332550550590703697075866702586791003196343772, 373680, 274468683600, 295495929876537834377785827655681451520, 8852650863190120306704385583280, 61207409996683556420967161199290272972801583280, 1596596244806915122940834873969613313271750450, 16, 7134671352982320, 256094948229886800, 17683523987479403909087232000000, 27145951539892951936794625174320, 106379088480], 'label': '10749542400000000.cs.480._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044481
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948432204846497160492999603230259262127225753, 20948432231430934529450199345279149512662299536, 62790242513922954696911660708335608295291610275, 42392731514303932643870713261839982980529232695, 26, 61194018254557109217419332636856057217311660215, 20411645834288669703686597719484478272173005471, 20948432205372758845652470070143955297335120671, 1073572758482290173014158299255631568177493634, 62790241602174586101293498851172076748800010096, 753675213379682859206667005225642604963154438938, 42392731540362108360738314300071053849977712496, 71, 83160969378032018491734376043454843475163637193, 82651709332199186208512706440309903931522860666, 83160968170516366671058616631359963136000000000, 82651709306140991904344925386841469747718918473, 42392731514303932643870685110717330240172960115, 61194018236919119998916103824027736391624540855, 62790241602174586101293498851172076748800086416, 1073572749807195980855451753173610481950765360, 20948432204846497160492922098264561476223994754, 41319158773188277730258038703354731234016266135, 20411645834288669703686597719491612943963943536, 1073572741115654913612646407363310387200000026], 'label': '10749542400000000.cs.576._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044482
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948432204846497160492999603230259262127225753, 20948432231430934529450199345279149512662299536, 62790242513922954696911660708335608295291610275, 42392731514303932643870713261839982980529232695, 753138426114217056263925372126036298159596964493, 26, 61194018254557109217419332636856057217311660215, 20411645834288669703686597719484478272173005471, 20948432205372758845652470070143955297335120671, 1073572758482290173014158299255631568177493634, 62790241602174586101293498851172076748800010096, 42392731540362108360738314300071053849977712496, 71, 83160969378032018491734376043454843475163637193, 82651709332199186208512706440309903931522860666, 83160968170516366671058616631359963136000000000, 82651709306140991904344925386841469747718918473, 42392731514303932643870685110717330240172960115, 61194018236919119998916103824027736391624540855, 62790241602174586101293498851172076748800086416, 537158659388788388697510568535434153841564169, 1073572749807195980855451753173610481950765360, 20948432204846497160492922098264561476223994754, 20411645834288669703686597719491612943963943536, 41319158773188277730258038703354731234016266135, 1073572741115654913612646407363310387200000026], 'label': '10749542400000000.cs.576._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044543
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [8842165285200828560179200000000, 27527506182452690092631959163161804800000000, 1292600836944248832000000, 115, 505808445542400000, 111, 77607141158826639360000, 122000787836928000, 1496880, 912274611649115469089744848158720000000, 186810624000, 356418501096635391802301964608519054728516498658, 90720, 17366635237623772991036388802560000000, 355419187200, 62790241602174586101293498851172076748800000000, 26830174325830819724132352000000, 41318787961327195646333610235669463140068923582], 'label': '10749542400000000.cs.576._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044483
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948432204846497160492999603230259262127225753, 20948432231430934529450199345279149512662299536, 20948433090808051968193585820808148504870971360, 62790242513922954696911660708335608295291610275, 42392731514303932643870713261839982980529232695, 26, 61194018254557109217419332636856057217311660215, 20411645834288669703686597719484478272173005471, 20948432205372758845652470070143955297335120671, 1073572758482290173014158299255631568177493634, 62790241602174586101293498851172076748800010096, 42392731540362108360738314300071053849977712496, 71, 83160969378032018491734376043454843475163637193, 82651709332199186208512706440309903931522860666, 83160968170516366671058616631359963136000000000, 82651709306140991904344925386841469747718918473, 42392731514303932643870685110717330240172960115, 61194018236919119998916103824027736391624540855, 62790241602174586101293498851172076748800086416, 537158659388788388697510568535434153841564169, 1073572749807195980855451753173610481950765360, 20948432204846497160492922098264561476223994754, 20411645834288669703686597719491612943963943536, 41319158773188277730258038703354731234016266135, 1073572741115654913612646407363310387200000026], 'label': '10749542400000000.cs.576._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044484
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948432204846497160492920923416181714751488034, 41319158773188277752035777604190724161536000026, 20948432204846497160493594199602072239800320115, 62790241602174586101293498851172077017080812826, 41319158773188277730258038703354019927657292816, 62790241602174586101294817355116702054318080111, 753675213379682859206667005225642604963154438938, 42392732130827706418168804215326858280960000073, 71, 20948432213792945616238500948851545866240000073, 20948432204846524306444460816118070247424000115, 42392731514303932643870685111223850047598592034, 83160968170516366671058616631359963136000000000, 732726780279928386560238774406551819900396964493, 42392731514303932643870685110717330227200725833, 1073572741115654913612646407363310387201583374, 1073572741115654913612646407363310387200000026], 'label': '10749542400000000.cs.576._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044485
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948432204846497160492920923416181714751488034, 41319158773188277752035777604190724161536000026, 733800353915952016959786730709839781897554438938, 20948432204846497160493594199602072239800320115, 62790241602174586101293498851172077017080812826, 41319158773188277730258038703354019927657292816, 62790241602174586101294817355116702054318080111, 42392732130827706418168804215326858280960000073, 71, 20948432213792945616238500948851545866240000073, 20948432204846524306444460816118070247424000115, 42392731514303932643870685111223850047598592034, 83160968170516366671058616631359963136000000000, 732726780279928386560238774406551819900396964493, 42392731514303932643870685110717330227200725833, 1073572741115654913612646407363310387201583374, 1073572741115654913612646407363310387200000026], 'label': '10749542400000000.cs.576._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044486
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [733800353915952016959786730709839781897554438938, 62790241602174586101293498851172077017080812826, 42392731514303932643870685111223850047598592034, 71, 20948432213792945616238500948851545866240000073, 1073572741115654913612646407363310387200000026, 83160968170516366671058616631359963136000000000, 41319158773188277730258038703354019927657292816, 20948432204846497160492920923416181714751488034, 41319158773188277752035777604190724161536000026, 62790241602174586101294817355116702054318080111, 42392731514303932643870685110717330227200725833, 20948432204846497160493594199602072239800320115, 1073572741115654913612646407363310387201583374, 42392732130827706418168804215326858280960000073, 753138426114217056263925372126036298159596964493, 20948432204846524306444460816118070247424000115], 'label': '10749542400000000.cs.576._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044487
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [62790241602174586101293498851172077017080812826, 42392731514303932643870685111223850047598592034, 71, 20948432213792945616238500948851545866240000073, 1073572741115654913612646407363310387200000026, 83160968170516366671058616631359963136000000000, 41319158773188277730258038703354019927657292816, 20948432204846497160492920923416181714751488034, 753675213379682859206667005225642604963154438938, 41319158773188277752035777604190724161536000026, 62790241602174586101294817355116702054318080111, 42392731514303932643870685110717330227200725833, 20948432204846497160493594199602072239800320115, 1073572741115654913612646407363310387201583374, 42392732130827706418168804215326858280960000073, 753138426114217056263925372126036298159596964493, 20948432204846524306444460816118070247424000115], 'label': '10749542400000000.cs.576._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044488
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1073572741387008589200546011458101955265376094, 42392731532196829555361871065209017480849693475, 79855142614401014864751, 61194018246136922718248533776897630983908704111, 26, 41319158773188277730258039878445689789317125854, 26058176326645508678455172254332234311, 20948432204846497160492947899183600128797100640, 82651709619274911315163952348208440987550414720, 62790241602174586101293498851172076748800010096, 1073572741115654913612646407363687010830079991, 83160968170516366692836407236243326597572767415, 20411645834288669703686650598609625978470480713, 42392731514830194329030312937739715402070035296, 1073572741115654913612646407363310387200000111, 62790241602174586101293552803207010074926688633, 61194018236919119977138313219156842905600000000, 1073572759008587213930168867298347249087513614, 73, 80640, 62790241602174586101293498851172076748800041056, 1073572767428738606981999424085111603200000094, 814332072679363491889696929483293050143430245793, 82651709332725430198856106021233672540234782151], 'label': '10749542400000000.cs.576._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044489
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 814855467290156864936443724550198472434191730431, 526261673867387060334436036774041603, 35998602428986199863981682325840, 375233179292194180483020202038258903324222452034, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 3, 10083, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 689245546164274111756432165794259183017299543150, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044490
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1073572741387008589200546011458101955265376094, 42392731532196829555361871065209017480849693475, 793920799706462002021708931521216852190978012843, 79855142614401014864751, 61194018246136922718248533776897630983908704111, 26, 41319158773188277730258039878445689789317125854, 26058176326645508678455172254332234311, 20948432204846497160492947899183600128797100640, 82651709619274911315163952348208440987550414720, 62790241602174586101293498851172076748800010096, 1073572741115654913612646407363687010830079991, 83160968170516366692836407236243326597572767415, 42392731514830194329030312937739715402070035296, 20411645834288669703686650598609625978470480713, 1073572741115654913612646407363310387200000111, 62790241602174586101293552803207010074926688633, 61194018236919119977138313219156842905600000000, 1073572759008587213930168867298347249087513614, 73, 80640, 62790241602174586101293498851172076748800041056, 1073572767428738606981999424085111603200000094, 82651709332725430198856106021233672540234782151], 'label': '10749542400000000.cs.576._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044491
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [41319158773188277730258038703354020195419187311, 20948432204846506928212109409554627297280000073, 20411645834288669703686677574627092641054720094, 83160968197100804040015841101066707927040000115, 1073572741115682059564186300315247181824000016, 61194018236919119977138313219156842905600000000, 61744568656072344809664671767825707126641564203, 83160968170516366671059262931778435260416000115, 20948432204846497160492920923166133452800489715, 41319158773188277730258038703354019928176211311, 20948432204846497160492920923166133452800806473, 814332072679363491889696929483293050143430245793, 62790241602174586101293498851178500045295616016, 486957011853312073, 41319159363653875809466320398591239127040000055, 73, 1073572741115654913612646407363310387200000111], 'label': '10749542400000000.cs.576._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044492
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [41319158773188277730258038703354020195419187311, 20948432204846506928212109409554627297280000073, 20411645834288669703686677574627092641054720094, 83160968197100804040015841101066707927040000115, 1073572741115682059564186300315247181824000016, 61194018236919119977138313219156842905600000000, 61744568656072344809664671767825707126641564203, 83160968170516366671059262931778435260416000115, 20948432204846497160492920923166133452800489715, 41319158773188277730258038703354019928176211311, 20948432204846497160492920923166133452800806473, 62790241602174586101293498851178500045295616016, 486957011853312073, 41319159363653875809466320398591239127040000055, 73, 1073572741115654913612646407363310387200000111, 814868859049921319346503252686974705337030245793], 'label': '10749542400000000.cs.576._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044493
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [41319158773188277730258038703354020195419187311, 20948432204846506928212109409554627297280000073, 20411645834288669703686677574627092641054720094, 83160968197100804040015841101066707927040000115, 1073572741115682059564186300315247181824000016, 61194018236919119977138313219156842905600000000, 83160968170516366671059262931778435260416000115, 61744568656072344809664671767825707126641564178, 20948432204846497160492920923166133452800489715, 41319158773188277730258038703354019928176211311, 20948432204846497160492920923166133452800806473, 62790241602174586101293498851178500045295616016, 486957011853312073, 41319159363653875809466320398591239127040000055, 73, 1073572741115654913612646407363310387200000111, 814868859049921319346503252686974705337030245793], 'label': '10749542400000000.cs.576._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044495
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1073572741115655850458737580486379974448855031, 62790241602700848712007028788797531006272614471, 62790241628232762406160052460482576885511653193, 82651709306140991904344925386860697791626041593, 271354296656748563975465647721222426, 82651709610328497616689014005485397614258467760, 20948432204846497160492920923166133459506032506, 42392731523521735080495774910248836320282705226, 26, 82651709306140991926122690190799036483051565394, 20411645834288669725464362523435621873870576071, 62790241602174586101293498851172076748800010096, 1073572741115654913612646407363310387200000000, 41319158773188277741550199614911782383763466080, 61194018254557144279177586871641064784299734995, 20411645852181567236247928657787244104760928675, 1073572741115654913612699286495592778341126416, 41319158799501361739404685637473025586357888615, 82651709306140991904344925386861032556264198473, 61194018236919119977138313219156842905600000000, 81605292972262741957186056177147618267749999319, 73, 82651709306140991904344925386841469747718918473, 61194018236919119977138313219157554281414281626, 1073572741115654913612646407363310400612166551, 42392731514303932643870687358725209092323030935, 20411645834288670019463863485669396841710704713], 'label': '10749542400000000.cs.576._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044496
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1073572741115655850458737580486379974448855031, 62790241602700848712007028788797531006272614471, 62790241628232762406160052460482576885511653193, 82651709306140991904344925386860697791626041593, 271354296656748563975465647721222426, 82651709610328497616689014005485397614258467760, 20948432204846497160492920923166133459506032506, 42392731523521735080495774910248836320282705226, 26, 82651709306140991926122690190799036483051565394, 20411645834288669725464362523435621873870576071, 62790241602174586101293498851172076748800010096, 1073572741115654913612646407363310387200000000, 41319158773188277741550199614911782383763466080, 61194018254557144279177586871641064784299734995, 20411645852181567236247928657787244104760928675, 1073572741115654913612699286495592778341126416, 41319158799501361739404685637473025586357888615, 82651709306140991904344925386861032556264198473, 83160968483642080621861699678357909371752353975, 61194018236919119977138313219156842905600000000, 73, 82651709306140991904344925386841469747718918473, 61194018236919119977138313219157554281414281626, 1073572741115654913612646407363310400612166551, 42392731514303932643870687358725209092323030935, 20411645834288670019463863485669396841710704713], 'label': '10749542400000000.cs.576._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044497
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948433090808051968193585820808148504870971360, 20948432204846497160494808120388072056094720073, 62790241602174586101293498851191639557345280016, 61194018236919119977138313219156842905600000000, 21458063079915297381830219958367593750671909778, 620499492675411148800000, 1073572741115654913612646407363310387200000026, 20948432204846497160492920923288134240636928115, 90720, 20948432204846532843318109944106164289536000034, 1073572767428738606981999424085111603200000094, 82651710496289990194094940255986264309760000026, 83160968483642080621861699678357909371752353975, 62790241602174586101293498851172076748801496935, 62790241602174586101293498851172077029973939255, 73, 62790241602174587038139563048276968210432000016, 62790241602174586101293498851172076755506022426], 'label': '10749542400000000.cs.576._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044498
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948433090808051968193585820808148504870971360, 20948432204846497160494808120388072056094720073, 41319159086313991681061121750351966075752353975, 62790241602174586101293498851191639557345280016, 61194018236919119977138313219156842905600000000, 620499492675411148800000, 21458063079915297381830219958367593750671909778, 1073572741115654913612646407363310387200000026, 20948432204846497160492920923288134240636928115, 90720, 20948432204846532843318109944106164289536000034, 1073572767428738606981999424085111603200000094, 82651710496289990194094940255986264309760000026, 62790241602174586101293498851172076748801496935, 62790241602174586101293498851172077029973939255, 73, 62790241602174587038139563048276968210432000016, 62790241602174586101293498851172076755506022426], 'label': '10749542400000000.cs.576._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044499
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948433090808051968193585820808148504870971360, 20948432204846497160494808120388072056094720073, 41319159086313991681061121750351966075752353975, 62790241602174586101293498851191639557345280016, 61194018236919119977138313219156842905600000000, 620499492675411148800000, 1073572741115654913612646407363310387200000026, 61744568377934809332397092193654895075471909778, 20948432204846497160492920923288134240636928115, 90720, 20948432204846532843318109944106164289536000034, 1073572767428738606981999424085111603200000094, 82651710496289990194094940255986264309760000026, 62790241602174586101293498851172076748801496935, 62790241602174586101293498851172077029973939255, 73, 62790241602174587038139563048276968210432000016, 62790241602174586101293498851172076755506022426], 'label': '10749542400000000.cs.576._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044500
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587871453478658648986273924, 146544592001650287105350386088448214483839341430, 1046045260991378234387145774854042473101574320, 6423296495616000, 61730804633535123150812214981541970448028373779, 27527532495572687356050034912488392158950503, 711374856197764, 925553903285559933665280041040, 7, 493338462769157764, 82128314712714236128991274858613536078895567923, 814855467290156864936443724550198472434191730431, 526261673867387060334436036774041603, 35998602428986199863981682325840, 26536174876572645412970569859760, 17637988913211646692023499314897259603, 26584437390734989273651130188422144000, 131760, 3, 10083, 82128315008210166005531618006266676932624613130, 493715072987136103, 894907976411491748977833607095110149200, 710702866108755854504349647995307417965318449380, 2248373169840366339120, 903073255195090374631802324621131315200, 19679749307, 925553957237594866990448640023, 61221545769686010951256573624609110694173900724, 249713497314409038, 616523774101368761951594212061750521045, 249713497313280000, 5842, 372049050307334459], 'label': '10749542400000000.cs.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044501
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [20948433090808051968193585820808148504870971360, 20948432204846497160494808120388072056094720073, 62790241602174586101293498851191639557345280016, 61194018236919119977138313219156842905600000000, 1073572741115654913612646407363310387200000026, 620499492675411148800000, 61744568377934809332397092193654895075471909778, 20948432204846497160492920923288134240636928115, 90720, 20948432204846532843318109944106164289536000034, 1073572767428738606981999424085111603200000094, 82651710496289990194094940255986264309760000026, 83160968483642080621861699678357909371752353975, 62790241602174586101293498851172076748801496935, 62790241602174586101293498851172077029973939255, 73, 62790241602174587038139563048276968210432000016, 62790241602174586101293498851172076755506022426], 'label': '10749542400000000.cs.576._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044502
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [5760, 1175092381343852375147, 271380201279031330459290870236012202, 27461728753955103377514215197556, 42, 14136362941816546251255619014343795065993694, 17638025195329211499393004434643091820, 27461728753955084149456896086507, 27461728753955084860832710205331, 526270526518250250454742909768137049, 8852650863190120306704384000000, 36282116300255076005333281100931, 36282116300255076005314560000000, 18620372560446133200188365904747, 60, 295767292720553860690184389197758736522, 26525689272680232469266950999069, 1046417228268224720222033358484281702409680589, 1582831606017327636312534912021119451629324189, 313133955071865779076883165535169587876, 62776849851101698967582201176263709082416770480, 26313092546022723903575949979253632109, 62240063793661362296254789990598307296530314291, 1582831606017291354196232408950082046000266160, 523395201258997944836647085422979814659974327, 18620371318476433129455470410851], 'label': '10749542400000000.cs.576._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044503
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [27461730021827905082598359040107, 14135746418043707992537934113881194496000060, 82665473067915571246141834791950886396854295709, 36282116300255076005314560000000, 9168428077252252519454313292916, 607832269304948879780054105063424000107, 20397882099090358258951569482181947823033787457, 42, 8852653397862852387381411840029, 83188495676698855643267548845599130255360000089, 36282116300255569720387547136089, 725802, 26525689272680232469621851187289, 526288199556659740566905290752000089, 8852650863190120306704384000060, 26525689272680232469266433219769, 17988815623552372422698434560060], 'label': '10749542400000000.cs.576._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044504
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [27461730021827905082598359040107, 14135746418043707992537934113881194496000060, 82665473067915571246141834791950886396854295709, 36282116300255076005314560000000, 9168428077252252519454313292916, 607832269304948879780054105063424000107, 42, 8852653397862852387381411840029, 20397882099090366795825218610170041865145787457, 83188495676698855643267548845599130255360000089, 36282116300255569720387547136089, 725802, 26525689272680232469621851187289, 526288199556659740566905290752000089, 8852650863190120306704384000060, 26525689272680232469266433219769, 17988815623552372422698434560060], 'label': '10749542400000000.cs.576._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044505
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [26058184547740700599492615471104000107, 631555746628209050630062080007, 607832269304948879780054105063424000107, 42, 61207409996683565589395238451542792339456000042, 18620370051676508800548864000000, 27461728753955084149456896131867, 36282116302503077460869775360000, 8852650863190120306704384000060, 18620370051676508800741941561642, 523394610793400181405552475800744493056000000, 8852650863190120306704385496909, 186817704932591176972229587944634228866390314850, 631554428124405654156288000007, 18620370051676515223845359616116, 1046417845046914441676253000504307249768538199, 18620370051676508800648975334400], 'label': '10749542400000000.cs.576._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044507
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1060181007409394796428063961001085543999395687, 5760, 1073572741387044871316870994549407015230505134, 9168428077252265700736739607707, 42, 523394620011211764681624679159035501208678427, 1046045261517666118167752494949252508653221294, 26525689272680232469266950963789, 8852650863190120306704384000000, 35988116826268872166936114160729, 35988116825093780496992984144729, 81605665278452069532612715718523218744092337331, 18620370051676508800548864000000, 550922116975852555721049052895819438724010174, 60, 1060180981622590765741748532760654015663903927, 1046417228268224720222033358484281702409680589, 271371664403497253243955718471863716, 27527506182479215781904639415193899456394276, 550922117247206547088589385608823771277300349, 81619055848610233026681026915053975323621792089, 27527506708732984330123575151108905799811876, 126670104522562934823998846160321948883172291210, 27461728753955084149456896080747, 26525689300831354787242669034267, 523394628686305913284258827163801894196336682], 'label': '10749542400000000.cs.576._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044508
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1060181007409394796428063961001085543999395687, 5760, 1073572741387044871316870994549407015230505134, 9168428077252265700736739607707, 42, 523394620011211764681624679159035501208678427, 1046045261517666118167752494949252508653221294, 26525689272680232469266950963789, 8852650863190120306704384000000, 35988116826268872166936114160729, 35988116825093780496992984144729, 81605665278452069532612715718523218744092337331, 18620370051676508800548864000000, 550922116975852555721049052895819438724010174, 60, 1060180981622590765741748532760654015663903927, 1046417228268224720222033358484281702409680589, 271371664403497253243955718471863716, 27527506182479215781904639415193899456394276, 550922117247206547088589385608823771277300349, 81619055848610233026681026915053975323621792089, 27527506708732984330123575151108905799811876, 27461728753955084149456896080747, 26525689300831354787242669034267, 105735064060369146573989229958482118492955877047, 523394628686305913284258827163801894196336682], 'label': '10749542400000000.cs.576._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044509
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [36282116300255076005314561129011, 1046417228268224720222033358484281702409680578, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 62267218993391320314051043388748686126588608592, 8852650863190120306704384000060, 126670104522562934823998846160321948883172291210, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044510
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [36282116300255076005314561129011, 62267218993391320314051043388748686126588608632, 1046417228268224720222033358484281702409680578, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 8852650863190120306704384000060, 126670104522562934823998846160321948883172291210, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044511
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 271353675587872628076613525316620162, 493715072987136000, 1046045260991378234387145774854042473101574320, 51704033477769954051120, 6423296495616000, 53952284646823440690059, 27527532495572687356050034912488392158950503, 2248251169052528640081, 925553903285559933665280041040, 7, 8946448455747469471158520070222140184, 376610217984000, 4, 35998602428986199863981682325840, 493715072987902882, 26536174876572645412970569859760, 26584437390734989273651130188422144000, 10183, 131760, 372049049789912883, 82128314999535072140441613157431934235475592855, 41319159980432585021996883265498662113765074615, 1318504194338821992195175, 500306314334076901729470773434905947563586426200, 53952034933325168640016, 61730804928759699329985083057801500752615017575, 1267873070646638777091175, 925553957237594866990448640023, 79855142614381854720000, 689245546164274111756432165794259183017299543150, 372049049788416078, 616523774101368761951594212061750521045, 82128314695347600891367450163293244620800766804, 249713497313280000, 61730804911919325788008324400371526871720806425], 'label': '10749542400000000.cs.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044512
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [36282116300255076005314561129011, 62267218993391320314051043388748686126588608632, 1046417228268224720222033358484281702409680578, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 126670104522562917434474333842213548136676291210, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 8852650863190120306704384000060, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044513
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [36282116300255076005314561129011, 1046417228268224720222033358484281702409680578, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 126670104522562917434474333842213548136676291210, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 62267218993391320314051043388748686126588608592, 8852650863190120306704384000060, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044514
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [40809900803465972313602669754812592783797068852, 27528105339592141835380976632939067507783524, 51704296330786023103923, 1573200, 295495929876540396027022667127723005384, 19, 121666023199087923, 26584437380249385381629463839994868576, 8691541067242832322070680709103499611, 262853028084336492, 26584437368957225645285706704618034000, 135182145466368000, 41855573471710325703771913171406724588112788534, 271353675587873700986399130775851604, 599157138536675589258634156252244592500, 2248123121578415653200, 9217802131333453727043860593484865364, 40823292563230408125878252899991795722544315540, 304442378648060628465975502042755973220, 372049050746787120, 1060180998989207688289020093835842895581076320, 26313083693369354192313232937994346083, 19939418763264000, 20920905289401031592245736698991131456553306202, 8691541383019969951897309197628410727, 36282116300255563297104026053315, 367920], 'label': '10749542400000000.cs.576._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044515
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121666023199088031, 19939418763631920, 186280546854737984211373132561719630523278245742, 26313083693369353017221562975264858720, 1198569185071628207834867820001468506720, 41346686279370730420350670662652363790266368000, 8842165285201315851955693093200, 646300905763900909093200, 372049405728059520, 135182145467941204, 372049224145366320, 20920905289401031592245736698985419534913882202, 1573200, 20411645834288669703686597719856527308989635680, 135182145466368000, 26830174325831075819080582657920, 1941149378537951662170720], 'label': '10749542400000000.cs.576._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044516
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121666023199088031, 19939418763631920, 186280546854737984211373132561719630523279248702, 26313083693369353017221562975264858720, 1198569185071628207834867820001468506720, 41346686279370730420350670662652363790266368000, 8842165285201315851955693093200, 646300905763900909093200, 372049405728059520, 135182145467941204, 372049224145366320, 20920905289401031592245736698985419534913882202, 1573200, 20411645834288669703686597719856527308989635680, 135182145466368000, 26830174325831075819080582657920, 1941149378537951662170720], 'label': '10749542400000000.cs.576._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044517
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [622747756649211089269680, 408960, 500096530609407360, 733277703291557272151638344222880460477601660178, 6423296497199325, 18293300676703075631665913856000, 384519301283013120, 122000787837694800, 500096523902976000, 35378340135870615294215541910320, 26976523986482983043760, 62790241602174586101293498851172076748800000000, 6423296496382882, 590465598079208281695621738319602873600, 912274611649115469090007366403445109680, 40795764162394886717280563480312314533999358800, 21980713712738425906293655974867909939514657955], 'label': '10749542400000000.cs.576._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044518
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [622747756649211089269680, 733277703291557272151638344223001749890582396178, 408960, 500096530609407360, 6423296497199325, 18293300676703075631665913856000, 384519301283013120, 122000787837694800, 500096523902976000, 35378340135870615294215541910320, 26976523986482983043760, 62790241602174586101293498851172076748800000000, 6423296496382882, 590465598079208281695621738319602873600, 912274611649115469090007366403445109680, 40795764162394886717280563480312314533999358800, 21980713712738425906293655974867909939514657955], 'label': '10749542400000000.cs.576._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044519
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [14135773002453636999368922110112638352543375, 3, 1046045234933202223522524393422738059676496505, 506519821356595204, 11292783659539185293844485841, 384519051283852808, 526261673868654933417887417215250019, 609779250872421269918813066205, 17999303088739264580186609356856, 61730805797354592353398469864245797792800994509, 82114922962167602426272518124302159206065407450, 82665101682955490648293828356288160263917050819, 230285185681241715641751603591713551107257101358, 14136041913946754358529449778587625417610264, 1941149500873504137216007, 122000787836928000, 122000787836928008, 500096523902976000, 1914173501923530283968108, 41332550532952714195865247157111134291318073005, 78680050944433056650183, 766800, 2482968961121164253746576, 894653068424506282552423314876420469761, 9217803056888621564147860486779628811, 8946448477525827696152939658520608048, 2248501552079118467760, 408960], 'label': '10749542400000000.cs.576._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044520
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [14135773002453636999368922110112638352543375, 3, 1046045234933202223522524393422738059676496505, 506519821356595204, 11292783659539185293844485841, 229776299669578479873634123142745637277813123187, 384519051283852808, 526261673868654933417887417215250019, 609779250872421269918813066205, 17999303088739264580186609356856, 61730805797354592353398469864245797792800994509, 82114922962167602426272518124302159206065407450, 82665101682955490648293828356288160263917050819, 14136041913946754358529449778587625417610264, 1941149500873504137216007, 122000787836928000, 122000787836928008, 500096523902976000, 1914173501923530283968108, 41332550532952714195865247157111134291318073005, 78680050944433056650183, 766800, 2482968961121164253746576, 894653068424506282552423314876420469761, 9217803056888621564147860486779628811, 8946448477525827696152939658520608048, 2248501552079118467760, 408960], 'label': '10749542400000000.cs.576._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044521
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 251743248726415519394300944501945837408652385751, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 122000787837694800, 229776299669578479873634123142745637277813481027, 230285185681241715641751603591713551107257101358, 6423296497199305, 500096523902976000, 244001582899205760, 500096611561720320], 'label': '10749542400000000.cs.576._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044522
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [104703154302942468982442952372635657925609934040, 61730804625114937272710262832470708581842591931, 83188123979131126455120824989814034429053075792, 12804753678438976, 1596967369547035145095937893678429930795059184, 16, 61730805510805111564160615587110882973535068807, 19160074103, 14135746418017171817741216644538153518007063, 26976036694713716332812, 3, 82142451631914615743158541753658062700094499760, 711387829152012, 1596968541786691466306247012682975974312755849, 550922412743128170264138310244060394163608989, 186280546854737984211373132561598006345660304702, 2248021018731633914164, 1207515642989801394225764521269914082484, 41841809406019630323820546806994178262586277780, 131776, 376610218029367, 83188495685390359840395131764857926430308054895, 8946449087300036301322203969985327482, 83188496267164418061428381595837497730634639451, 621068876038093541213675530080, 711381123139696, 10092, 1569439845726594162051421108423867302156160080, 958048563, 271353675587871452991701636692823056, 1175098093258266868339, 17366636163177727980642981607876771680], 'label': '10749542400000000.cs.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044523
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 251743248726415519394300944501945837408652385751, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 122000787837694800, 229776299669578479873634123142745637277813481027, 6423296497199305, 500096523902976000, 244001582899205760, 500096611561720320, 230285185681241715641751603591713551107257055998], 'label': '10749542400000000.cs.576._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044524
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 251743248726415519394300944501945837408652063191, 122000787837694800, 230285185681241715641751603591713551107257101358, 6423296497199305, 500096523902976000, 229776299669578479873634123142745637277813123187, 244001582899205760, 500096611561720320], 'label': '10749542400000000.cs.576._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044525
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 251743248726415519394300944501945837408652063191, 122000787837694800, 6423296497199305, 500096523902976000, 229776299669578479873634123142745637277813123187, 244001582899205760, 500096611561720320, 230285185681241715641751603591713551107257055998], 'label': '10749542400000000.cs.576._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044526
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [26058184547740700599492615471104000107, 631555746628209050630062080007, 607832269304948879780054105063424000107, 186817704932591159582705075626525828119894314850, 42, 61207409996683565589395238451542792339456000042, 18620370051676508800548864000000, 27461728753955084149456896131867, 36282116302503077460869775360000, 8852650863190120306704384000060, 18620370051676508800741941561642, 523394610793400181405552475800744493056000000, 8852650863190120306704385496909, 631554428124405654156288000007, 18620370051676515223845359616116, 1046417845046914441676253000504307249768538239, 18620370051676508800648975334400], 'label': '10749542400000000.cs.576._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044527
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [5760, 1175092381343852375147, 271380201279031330459290870236012202, 27461728753955103377514215197556, 42, 14136362941816546251255619014343795065993694, 17638025195329211499393004434643091820, 27461728753955084149456896086507, 27461728753955084860832710205331, 526270526518250250454742909768137049, 8852650863190120306704384000000, 36282116300255076005333281100931, 36282116300255076005314560000000, 18620372560446133200188365904747, 60, 295767292720553860690184389197758736522, 26525689272680232469266950999069, 1582831606017327636312534912021119451629324189, 313133955071865779076883165535169587876, 26313092546022723903575949979253632109, 62240063793661362296254789990598307296530314291, 21444299327358582368591545739886534918846484427, 1582831606017291354196232408950082046000266160, 523395201258997944836647085422979814659974327, 18620371318476433129455470410851], 'label': '10749542400000000.cs.576._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044528
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [1175098093264973566807, 11292160911666958590457448896, 21444299900194413785643410710821515232953310819, 631554479828541904683583997353, 1073572767173830608705017314620031806537426107, 506519839559865600, 617050045215884694651332458290953730480, 244001581941202560, 1582831623129018909315247862203297356955141294, 1073572741387035724666505667500644495804696323, 14135755364464713301603596311046380888419774, 244001581941202572, 122000787836928000, 550922116975844008361743256051949853766140103, 26313083704661539831636958326216857603, 915068405151654803103892330087, 500096523902976000, 17366635542915436039894321602751370227, 271353980879560405457077252316284166, 4, 773550444836477325151186346035735581541910860691, 766800, 78680172945239535358807, 506519839120780823, 506519821356595200, 408960], 'label': '10749542400000000.cs.576._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044529
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [82665473067915571561919048854083099059126295709, 27461730021827905082598359040107, 14135746418043707992537934113881194496000060, 36282116300255076005314560000000, 9168428077252252519454313292916, 607832269304948879780054105063424000107, 20397882099090358258951569482181947823033787457, 42, 8852653397862852387381411840029, 83188495676698855643267548845599130255360000089, 36282116300255569720387547136089, 725802, 26525689272680232469621851187289, 526288199556659740566905290752000089, 8852650863190120306704384000060, 26525689272680232469266433219769, 17988815623552372422698434560060], 'label': '10749542400000000.cs.576._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044530
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [622747756649211089269680, 408960, 500096530609407360, 733277703291557272151638344222880460477601660178, 21980713712738425906293655974874291390430497955, 6423296497199325, 18293300676703075631665913856000, 384519301283013120, 122000787837694800, 500096523902976000, 35378340135870615294215541910320, 26976523986482983043760, 62790241602174586101293498851172076748800000000, 6423296496382882, 590465598079208281695621738319602873600, 912274611649115469090007366403445109680, 40795764162394886717280563480312314533999358800], 'label': '10749542400000000.cs.576._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044531
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [1060181007409394796428063961001085543999395687, 5760, 1073572741387044871316870994549407015230505134, 9168428077252265700736739607707, 42, 523394620011211764681624679159035501208678427, 1046045261517666118167752494949252508653221294, 26525689272680232469266950963789, 8852650863190120306704384000000, 104689390818770930859054330646701917364622746852, 35988116826268872166936114160729, 35988116825093780496992984144729, 81605665278452069532612715718523218744092337331, 18620370051676508800548864000000, 550922116975852555721049052895819438724010174, 60, 1060180981622590765741748532760654015663903927, 271371664403497253243955718471863716, 27527506182479215781904639415193899456394276, 550922117247206547088589385608823771277300349, 81619055848610233026681026915053975323621792089, 27527506708732984330123575151108905799811876, 126670104522562934823998846160321948883172291210, 27461728753955084149456896080747, 26525689300831354787242669034267, 523394628686305913284258827163801894196336682], 'label': '10749542400000000.cs.576._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044532
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [26525689272680232469266950918429, 187326592411208855160085535485480378621992935000, 51704033477783365415549, 42, 8852650863190120306704384000000, 27461728753955084149456896121787, 26584446221608140538952575837366834654, 17988815625800245830786241468860, 40823292276680953861521928412930143835388332647, 18620370051676508800548864000000, 911748377436976835984757791579270204167, 60, 36282116300255076005333281020291, 27527532240646373998092920792650823468158800, 14135746944277920133652833471197330799072611, 536786387924463325987033089113388768670421820, 8946484443862457998591433723019331680, 271354307142353529285013619287865627, 26313092861797432517110958463961258122, 77607141158827597414436, 10080, 27527532240655846911251474729133250535555767, 26584446221608141611875166197382265769, 17988815677504280019936798924827], 'label': '10749542400000000.cs.576._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044533
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [536786370829217436288260788860004700313344009, 305291690024875399475229721700, 376610736947779, 8946457918173158342462787200716800000, 27527506182471310462763490821000044469950881, 20, 732726781461122695240914660584233664509767834871, 41346686279642120084055447064790527570440295042, 51704053040578498691760, 41346687191390469460014899653690749968135034983, 2248014636913363850172, 710702866108755854504349647995307417965318449380, 925553983140721776091999836255, 41319158773459631427624347061890135881938450505, 19562809503414967, 41332550533224103522014369168139906031736210023, 958089603, 80655, 11292239591609418351157374020, 526262294936239443321751737043728492, 14135746689370553406083556291905390862399460, 550922117502141680831587350993465929758693762, 14135746418017171817740143734752559634733936, 315777292742183157113971125659, 4, 1060180981622599585322713085591345080226305932, 61207409996954927791371209194576886855320220249, 10080, 78680050944432537645360], 'label': '10749542400000000.cs.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044534
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [14135773002453636999368922110112638352543375, 3, 1046045234933202223522524393422738059676496505, 506519821356595204, 11292783659539185293844485841, 229776299669578479873634123142745637277813123187, 384519051283852808, 526261673868654933417887417215250019, 609779250872421269918813066205, 17999303088739264580186609356856, 61730805797354592353398469864245797792800994509, 82114922962167602426272518124302159206065407450, 14136041913946754358529449778587625417610264, 1941149500873504137216007, 122000787836928000, 122000787836928008, 500096523902976000, 1914173501923530283968108, 41332923429344572114970272719948718583063474453, 41332550532952714195865247157111134291318073005, 78680050944433056650183, 766800, 2482968961121164253746576, 8946448477525827696152939658520608048, 9217803056888621564147860486779628811, 894653068424506282552423314876420469761, 2248501552079118467760, 408960], 'label': '10749542400000000.cs.576._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044535
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [36282116300255076005314561129011, 1046417228268224720222033358484281702409680589, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 126670104522562917434474333842213548136676291210, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 62267218993391320314051043388748686126588608592, 8852650863190120306704384000060, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044536
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [14135773002453636999368922110112638352543375, 3, 1046045234933202223522524393422738059676496505, 506519821356595204, 11292783659539185293844485841, 384519051283852808, 526261673868654933417887417215250019, 609779250872421269918813066205, 17999303088739264580186609356856, 61730805797354592353398469864245797792800994509, 82114922962167602426272518124302159206065407450, 230285185681241715641751603591713551107257101358, 14136041913946754358529449778587625417610264, 1941149500873504137216007, 81591901508257365617452126804846346993662750869, 122000787836928000, 122000787836928008, 500096523902976000, 1914173501923530283968108, 41332550532952714195865247157111134291318073005, 78680050944433056650183, 766800, 2482968961121164253746576, 8946448477525827696152939658520608048, 9217803056888621564147860486779628811, 894653068424506282552423314876420469761, 2248501552079118467760, 408960], 'label': '10749542400000000.cs.576._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044537
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [36282116300255076005314561129011, 62267218993391320314051043388748686126588608632, 1046417228268224720222033358484281702409680589, 599157138536674346113573139251200000051, 26525689971859776089110118400042, 20920904698664071932129042919087121104896000029, 9168428103155360200423342080116, 126670104522562917434474333842213548136676291210, 42, 18620370051676508800548864000000, 27461728753955469003254095872107, 17366662699352526946120538259456000060, 36282116300255076005676246124916, 631554428124264425337516960029, 8852650863190120683314601984107, 8852650863190120306704384000060, 1073572741115664082040723659615829753856000000, 8852650863190120306704385537949], 'label': '10749542400000000.cs.576._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044538
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [1060181007409394796428063961001085543999395687, 5760, 1073572741387044871316870994549407015230505134, 9168428077252265700736739607707, 42, 523394620011211764681624679159035501208678427, 1046045261517666118167752494949252508653221294, 26525689272680232469266950963789, 8852650863190120306704384000000, 104689390818770930859054330646701917364622746852, 35988116826268872166936114160729, 35988116825093780496992984144729, 81605665278452069532612715718523218744092337331, 18620370051676508800548864000000, 550922116975852555721049052895819438724010174, 60, 1060180981622590765741748532760654015663903927, 271371664403497253243955718471863716, 27527506182479215781904639415193899456394276, 62776849851101690746485766110407827702576770574, 550922117247206547088589385608823771277300349, 81619055848610233026681026915053975323621792089, 27527506708732984330123575151108905799811876, 27461728753955084149456896080747, 26525689300831354787242669034267, 523394628686305913284258827163801894196336682], 'label': '10749542400000000.cs.576._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044539
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 251743248726415519394300944501945837408652063191, 122000787837694800, 229776299669578479873634123142745637277813481027, 6423296497199305, 500096523902976000, 244001582899205760, 500096611561720320, 230285185681241715641751603591713551107257055998], 'label': '10749542400000000.cs.576._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044540
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [2509944716069569659288960, 82142450441765617137631234142829496178798723760, 19, 408960, 35988116825094043015218549910320, 21457691069221871927206612168184723365504185600, 271353675587871453369462607602873600, 26536174850669658686562226176000, 1207515633527373787860187606661617199280, 28151109136611901440000, 251743248726415519394300944501945837408652063191, 122000787837694800, 229776299669578479873634123142745637277813481027, 230285185681241715641751603591713551107257101358, 6423296497199305, 500096523902976000, 244001582899205760, 500096611561720320], 'label': '10749542400000000.cs.576._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044541
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [271353675587873700986399130775851604, 304442378648060628465975502042755973220, 26584437380249385381629463839994868576, 19, 105225804327933354738132335674245428670053785600, 9217802131333453727043860593484865364, 36282116300255563297104026053315, 2248123121578415653200, 295495929876540396027022667127723005384, 8691541067242832322070680709103499611, 19939418763264000, 372049050746787120, 40823292563230408125878252899991795722544315540, 27528105339592141835380976632939067507783524, 1060180998989207688289020093835842895581076320, 8691541383019969951897309197628410727, 1573200, 262853028084336492, 599157138536675589258634156252244592500, 121666023199087923, 26313083693369354192313232937994346083, 40809900803465972313602669754812592783797068852, 26584437368957225645285706704618034000, 135182145466368000, 367920, 51704296330786023103923], 'label': '10749542400000000.cs.576._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044544
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [271353675587873700993533807874105616, 1073573349219268431722467974598510734357091753, 17637988934989385592866250328458185044, 17892896911491212930515200596324490259, 5767, 26058175716867577485793686923034453843, 6423296495747767, 814855467290156864936443724550198472434191730431, 9217820120149076206506162922340668135, 13516128534585603, 21777738900836704334948166488, 17366635237623775239179407961382508823, 536786379504276838105806515305473631577033125, 83188123979131126455120824989814034429053075792, 1175098428029611094408, 35682825190196531462826492553015, 7, 1060180990042759537026577972223203150412073660, 6706032500, 27527523549087949494222531094334045239455460, 4, 621068904087020793495131130779, 518969531, 376616485008004, 14135764056005170767666942102471746006142007, 40823291685943975276551397729489864686378614880, 26584464220910558249417005273831924667, 1569439854673042323797525973179397121886636682, 86419], 'label': '10749542400000000.cs.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044545
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [82651709306140991904344925386841469747200000000, 1060180981351218469783798427229880320000000000, 17637988913211644444021332377600000000, 506519820398592000, 262013875200, 29, 27145951539892951936794624000000, 19678982400, 41318787961327195646333558531648790117527099626, 1190148998289750014869144794562560000000, 439126432416937918213706156266041563124174360306, 2534672732080677027840000, 9767719188486388493844480000000, 64, 250048261951488000, 2484041608388512972800000, 489600, 766800], 'label': '10749542400000000.cs.576._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044546
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [631556989773519781128419902885, 60, 20935040445082061021958270664629475278415256441, 621572402461017047040000, 8946448455746201598094296726982787760, 1569439845726593868054453541668181457259070885, 100, 9217802131333477381791553186155916885, 25903107681057644088960, 1060180981351219090853270134611778297214575225, 11294722560301639813582905600, 12454051680, 20921276987223660546286430774041771302842808335, 2561648749923949830265680, 1596967942374644920867400825943095141518600345, 1046046146681552808547321446924149598087362665, 25903107681062953104000, 27527514873993474628097254284644659127043231, 26584437368957250372814802470917114805, 1046045252571191463802973942367738548186153125, 1940076347086322565120000, 526261673867387060354375450308214905, 17892897532560036089451896076503383045, 10080, 41346687477939925248407149216668169002370235605, 83188123979131126455118989496625573595711635792, 25903107681063911026560, 1318503964188133742423065], 'label': '10749542400000000.cs.576._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044547
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [958003200, 7134671351808000, 20411645834288669703686597719484478259200000000, 82, 483840, 1198569185071628207834495770951680000000, 936846064197104891461632000000, 79855142614381854720000, 41346686279370730420350670662517181644800000000, 17637988913211644444021332377600000000, 1502640, 274467916800, 524450221177547498117092734708257797409425701837, 673276435938787000320000, 26841466486742364681928704000000, 112, 249713497313280000, 82114551828226152781078296293085209616724699537], 'label': '10749542400000000.cs.576._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044548
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [55, 33, 82142450441765617137631234142322976358400000000, 493715072987136000, 2508769624399620341760000, 648476938391741734732540995721923849898368470962, 261574790400, 243290200817664000, 621572402461017047040000, 607832233316832054686273608089600000000, 90720, 9462427552413548027707392000000, 936846064197104891461632000000, 725760, 281173939200, 894653068413212180491358966906880000000, 21457691069221871927206612167684626841600000000], 'label': '10749542400000000.cs.576._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044549
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 288, 'diagramx': None, 'generators': [1888372327124694559276919, 13763761774570489146665538904246542224971475, 915068352272292411864334242532, 27527532766908058352971071235033167344585122, 19160105077, 6758236009808640, 11292160911564185841217448880, 2248014971696643445706, 271353686880032364542706137964326493, 17999301201541555684565274704677, 81591529237064403398755686104693609565757440052, 53952048449447437094467, 731520, 42392732105040893567095535959715767493181555959, 119, 11292189062654806045124313667, 1046045234933237895860892279779519867002262887, 21777791780097034205952124132, 376628940465866, 9451942028376297637823033051520, 17366635237625065591873709675022760432, 806400, 958376906, 526261673868680836263761597326118519, 13516128536088333, 14135746418034235079460410406012742324955527, 536787568855676863440642537779418904035523732, 93], 'label': '10749542400000000.cs.576._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044550
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21457691069221898757380937998504350973952000082, 61716668861058931187680852444064861309829120082, 41841809397328088940800577928005943296000000000, 61207409996683556420967161199290272972800000000, 40795764162394886717280590455823261376184320000, 41841809397328088940800577928005943296000010187, 958003200, 107, 41332550532952714174086886683487449907200847495, 61207410023267993789924385668997017763840000107, 62239691774029703330115848081341937890742480698, 61207409996683556420967161199290273247267916882, 62253455231616758644487175647490421555200000000, 61207409996683592724861200355202982608896000000, 40795764162394886717281830279716942249164800000, 41841810283289616896546694001028990238720000082, 41332550532952714174086886683974406919053312082, 82, 26576233128496623704387932878874817867], 'label': '10749542400000000.cs.600._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044551
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [61207410023267993789924385668997017763840000081, 41841809397328088940800577928005943296000000000, 40795764162394886717280590455823261376184320003, 41841809397328088940800577928005943296000010187, 958003200, 107, 41332550532952714174086886683487449907200847543, 61207409996683592724861200355202982608896000004, 62239691774029703330115848081341937890742480698, 62253455231616758644487175647490421555200000000, 61207409996683556420967161199290273247267916856, 21457691069221898757380937998504350973952000104, 41332550532952714174086886683974406919053312056, 21457691069221871927206612167684626841600000003, 41841810283289616896546694001028990238720000082, 61716668861058931187680852444064861309829120104, 82, 40795764162394886717281830279716942249164800003, 26576233128496623704387932878874817867], 'label': '10749542400000000.cs.600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044552
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [295241022499327168905409014005760000000, 42364832900501310631099921691265851130115532919, 936846064197246120293376000025, 1266799911147535564800000, 27527506182453311161482094135840604160000094, 21980713686951604801860043414780086669597187778, 315777214062132212662272000000, 915068325296268187140096010080, 62253455231616759581333239844595313016832000025, 925553903285559933671986022400, 936846064197104891461632000000, 11292160911544957884528211200, 8946448477523318926522116734976000119, 21777738901092799269765120025, 94, 631554428124264425324544000000, 915068325296268187140096847440, 631554479828297903094497280025, 25], 'label': '10749542400000000.cs.600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044553
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [915068325296268187140096771140, 41319158773188278645326363999622206980096000020, 26584437390734963370543449112576000038, 493715072987136119, 11292186814652638853038080015, 174356582519, 106272221538826711930541562645958781145942549030, 609776689223427721003008000015, 936846064197104891461632000000, 61730433821657568243627809846974670065524427058, 621068850134972678799361583361, 94, 61207409996683556736744375261422485635072000038, 303916116985485402316813974503424000074, 186803569472204603017146537240371929953322221565, 631554428124264425324544000000, 21777738900836704341214982481, 25, 621068850134991906843267072020, 21780221869535307228610560081], 'label': '10749542400000000.cs.600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044554
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [915068325296288126558860438320, 774582726309635984325515646661580518387684040307, 18293300676702844811447869440000, 61207409996683556420967161199309835781346454320, 711374856998511, 295767283552125705830790710649484438320, 622747500554262860143920, 19228043907072078, 19939418763264000, 13181632098531120, 42365204008121479953778053151573731230945280000, 6423296495616000, 17366635237623772991055951611105647920, 806400, 367920, 733277703291557280067443194919692110061945827876, 51704034189144809472000, 518918400, 7134671351808000], 'label': '10749542400000000.cs.600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044555
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 1596967352180426454130110694678055268065469376, 21777741148851341247353881683, 605518354899955852431175723056812120882298463318, 79855161842432028810244, 376610217984023, 16, 26313102008447847300460642869377804183, 51136, 2248021394986951635132, 1569441044550686328184246863531594432475379872, 925553956164698262742179920655, 6758061133875120, 3, 83188123979131126455120824989814034429053075792, 1046045234933202833296781278769739880308869780, 5772, 40823291677523797315063232857743724140446717326, 1073572750062130221310319316070759531255592887, 500306314334076901729470773434905947563586426200, 26313083693369430623876141406535869380, 936846090100218995815771750328, 8946467054340400498072834037293424009, 27527506708714679737258984744249702617660248, 1060180990297667840599643825550129179004197776, 52879137952466681936660, 1569439872039712602206507672159816033330973360, 14135746418016562041026192290643833291680007, 12973040640], 'label': '10749542400000000.cs.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: 124044556
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1175110898006636282163, 599683400210541733173926803339106186179, 14136346101416456805517152937307014079586483, 61207410891065271158591547844806166512402580339, 104703154302942468982442952372635657925609934040, 26313083715147117820666563211666497379, 376628938968976, 6706028168, 19562827266310339, 61730804616423431583808189128996745378597031793, 21777791779974656806938876256, 4, 83188496866576463997091209587571336069703874656, 82128314704565403643770994921748336127498784571, 26313110534836460258714340714731702438, 1198569185387405450047737120232121184011, 1189877644635939910468105691921915887456, 83188123979131126455120824989814034429053075792, 8, 7225062480, 20398255272822064655898088368870089197962588263, 518928500, 295241058170861439086699600090824761604, 45367, 1060182171228863083945994722521302342965401611, 10095, 52879137952466681861763, 271353675587951308133981260096409524, 41855573471710325703771913171657107614702807094, 271389347927484732654622879730778762], 'label': '10749542400000000.cs.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044557
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [27145951539892952648169481320960, 620499511903455056320560, 26976030271409996547120, 6423315216963120, 83188123979131126455120824989711261685123622992, 19939418763264000, 711374856917859, 376610218387255, 290942045233256623422560944624481875114618422369, 6758241757389360, 925553903285573449787548454400, 61207409996683556420967161199310212391563631920, 19228043907797760, 82142450441765617137631234142342204402308200960, 894381714737624309038393962750604070400, 6423296495616000, 806400, 367920, 17892896911491160051383629574291859200, 210947113456392275577038500998533519065728912673], 'label': '10749542400000000.cs.600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044558
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [526262588935714604610502034848328895, 315777239965253075077545523219, 14135746944277920131223918496450152542656563, 1582831623129037192130373551633311852690727554, 448560, 53952035644700544844100, 79855142614394309210168, 36282116300255076381924778357680, 25903120862421541554499, 90723, 26976017466662584410723, 894653068424505013606436501200508678423, 61730804607476947433944663399355349917099180644, 1175091669949317493687, 28151115894680260204811, 1046045235204574497700276284004770508862072943, 90743, 958093927, 1073572758482290761013134524942235921765030248, 536786370557828382360279368373159881870956812, 11292162086643051043123187772, 90720, 1189877644625454332478833508210585748323, 61730805797354592059400208623364616648166162491, 90732], 'label': '10749542400000000.cs.640._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044559
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 384853797200320560, 21457691069221871927206612167684626841600448560, 1198569185071628207834495770951681093680, 186811717680, 1887197221938603295813680, 894381714737624309038374023331840000000, 25903107681056686080000, 83188123979131126455120824989814034429053030432, 349232531760, 35378340135870352775970816448560, 305291636072840466137088000000, 711374856640560, 82651709306140991904344925386841469747200448560, 448598, 23], 'label': '10749542400000000.cs.640._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044560
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 384853797200320560, 21457691069221871927206612167684626841600448560, 83188123979131126455120824989814034429053121152, 1198569185071628207834495770951681093680, 186811717680, 1887197221938603295813680, 894381714737624309038374023331840000000, 25903107681056686080000, 349232531760, 35378340135870352775970816448560, 305291636072840466137088000000, 711374856640560, 82651709306140991904344925386841469747200448560, 448598, 23], 'label': '10749542400000000.cs.640._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044561
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 35672339611031648284311552000000, 249713497314373680, 181062604800, 141228831745093680, 936846064197104891461633093680, 673276435938787000320000, 2534672732080677028933680, 17892896911491160051370824826880000000, 599412046534953861720922631700481093680, 1093709, 83188495676698819361151248590523124940800448560, 27527506182452690092631959163161804800000000, 13412044800, 1093784, 41332550550590712855018365965547563844669396412], 'label': '10749542400000000.cs.640._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044562
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 35672339611031648284311552000000, 249713497314373680, 181062604800, 141228831745093680, 936846064197104891461633093680, 673276435938787000320000, 41332550550590712855018365965547563844668716012, 2534672732080677028933680, 17892896911491160051370824826880000000, 599412046534953861720922631700481093680, 1093709, 83188495676698819361151248590523124940800448560, 27527506182452690092631959163161804800000000, 13412044800, 1093784], 'label': '10749542400000000.cs.640._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044563
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 87657292800, 1596596244806933111756458426213988537591790050, 35672339611031648284311553093680, 181581523200, 17637988913211644444021332377600448560, 1569439845726593236497489671748373708800000000, 493338462769600560, 8842165285200828560179201093680, 2508769624399620342208560, 19939418763712560, 894907976411491696098708459356160000000, 1093758, 448679, 83188495676698819361151248590523124940800448560, 622747494130966365253680], 'label': '10749542400000000.cs.640._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044564
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [448560, 87657292800, 35672339611031648284311553093680, 181581523200, 17637988913211644444021332377600448560, 1569439845726593236497489671748373708800000000, 493338462769600560, 8842165285200828560179201093680, 2508769624399620342208560, 19939418763712560, 894907976411491696098708459356160000000, 1596596244806933111756458426213988537591109650, 1093758, 448679, 83188495676698819361151248590523124940800448560, 622747494130966365253680], 'label': '10749542400000000.cs.640._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '640.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044565
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 720, 'diagramx': None, 'generators': [8863943024101665264856674549840, 1060181580508365870401246198890571055343224355, 315777214062132213018210841440, 180623520082, 1267872820933410184152960, 773522917043490492787156835457723899269250086976, 550922116975843703070107182711386931200000000, 17892896911491160051370825095601439840, 41841809397328088940800577928005943564720341840, 355938105600, 19939418763264000, 134805535248384000, 53952034933593888578640, 894381714737624309038374023600561439840, 30, 180623520000, 444240, 367920], 'label': '10749542400000000.cs.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: 124044566
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 720, 'diagramx': None, 'generators': [1189622736615882627808810358538240444240, 82142450441765617137631234142322976358400041040, 384853797199872000, 1596596244806933111756458426091987749754216930, 106378639920, 1269047912603090780527920, 506519820398592000, 186811471440, 11292160911666623819551567440, 847559, 903328163193369889064059435745280000000, 847496, 40795764162394886717280563479927460736798720000, 773550072843413692622674155452149020804570349426, 444240, 367920, 1941149256871928463804240, 18293300676702831630090241583280], 'label': '10749542400000000.cs.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: 124044567
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26313083998661017240691343658221069475, 14135755364465017786632019266432574237584569, 271353675587871453004506402745430415, 925553903285559933684440064023, 230285557674305391768894373363046811460386887754, 26058176304866528880814290085766986816, 16, 305291636072841177518650259772, 62240064088376122805132065204129707849201955725, 526262599421292593915764664098358883, 1569439872311031520523091141763206707343670335, 1569439854418134619517537230800023352712214903, 27527524075349928653814460099771617139320993, 26584438305803366273959929764075218567, 11292160911558139166435613364, 631554430372266592267069725367, 12454163287, 518918408, 315777214062151775483271321623, 83188123979131126455120824989814034429053075792, 3, 1582831623129018604830169983485123439802705216, 1569440748799848442880723219553652793190805773, 27528418457100621325668104036391665067823559, 23, 10103, 14135746944278225422835263320905200982278328, 17892896933268900127305957172279034168, 45371, 19562821957324812, 81591529514667418680277752503661147676331436026], 'label': '10749542400000000.cs.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044568
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 720, 'diagramx': None, 'generators': [621071360079688748369019324240, 61744196367241383877773484402971928166401542240, 1889445223394158510080000, 1266799911147535565939143, 1596596244806933111758940219820921495349190450, 1189877644614164653360875920557179727440, 17892896911493669996086894396539615840, 1889445223394432979212160, 536786370557827456806323203681655193600000000, 773550072843413692622674103748121589720895916786, 1266800173665780290751360, 2509944716069918891407440, 8863945534046381334070395324240, 1266799911858910422207360, 2509944716069569658880000, 444240, 367920, 41065], 'label': '10749542400000000.cs.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: 124044569
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [249713497314857520, 12454041600, 26584437368957224469706744791041180080, 1577520, 6758061135401520, 536786370557827456806323203681655193601180080, 2534672732080677029020080, 915068325296268187140096483840, 894653068413212180491358966906881577520, 281175516720, 1862469205927495925760000, 36303894039155912709636097577520, 1577528, 41319158773188277730258038703354019840000731520, 1180135], 'label': '10749542400000000.cs.768.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '768.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044570
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [2248507975376572081204, 3, 315777242213260912102398066012, 21994850319331183761141255053749523564752254054, 363600, 77607275964362407026008, 384853797199872000, 14135746418016268041576832394707860485923215, 371714285150208000, 26313083693370026293644697014853718503, 1583280, 23, 1569439854944395694900317299674527223892923639, 35682825189021311745314964218263, 506519820398592000, 1060181276592240957818833397604741673483586019, 21777792853243351938122149212, 550923011883820746116285357732386307157256428, 11292160911564520605416646979, 1596968541531783468026705604420156813180267660, 1134720, 1582831605491029680326339899896440689363718404, 81619055857556681177135592440307429123634404532, 271354307142377184877484751490213688, 506519820917510400, 27527506182453005869899973836827612640451780, 25903614200896245099616, 1569440444883732710019143127366132009697026505], 'label': '10749542400000000.cs.800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044571
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [21967322517924137186574671566361256733945158309, 1569439846252855226142168401861989687252864125, 17892924068734863103888403035699537245, 5760, 550922116975843703070107182711386932158009027, 1569439863619490463765891936379775872481536590, 42365204008121479953778104855587646199059383107, 67, 41346686279370730431642909181203674890463517390, 6423302762644349, 41346686279370730420350672910531441960399827131, 21981085680286616615772038699373214684760262971, 111, 1569439863364582171486874191717643173023427219, 82114922961641349605056017909187832365132944480, 81605664088574460296790759876620862555483014400, 41346686279370730420350670662517558255017989805, 21981085680015262940184087391232851968000000000, 550922116975843703070107182711386938424940819, 550922143034019398159946840104714067947583419, 20425781580706685949950381698514209996800000000, 40795764162394887327057253878831705748338439005, 48, 21981085680015263877030204467482119199515580845, 40795764162394886717280563479805794713600126048, 81605665278452096058302581819696191410306538288, 550922117502105376937494243065762387695318947, 1569439845726593236497491919749829277427526579, 42365204008121479953778053151554168422400000000], 'label': '10749542400000000.cs.800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044572
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1569439854673042629089133894551482332242271427, 550922134868740941630644456125794363810066525, 82114922935583164447538602183159814559867018343, 550922116975843724847847258659700795693104591, 67, 20920904698664044470400366571144841869174575551, 1569439845726593857566366782745653861256197859, 111, 81605664071734060828413950225344098678911645325, 20425781589653135037250468528534554988321008111, 42365204008121479953778107103608329803929879611, 21981085680015262940184087391232851968000000000, 550922116975843703070107182711386938424940819, 82114922935583164447538602183160525928456202179, 40795764162394886728572803071408120258145290183, 20425781580706685949950381698514209996800000000, 1569439845726593236497489671748373715066947699, 20425781580706685949950383946516376946031696659, 48, 20920905601737317360307458287556066685786745459, 550923002937398510770772080353401983270971360, 20920904698664044470400317115125624388436076831, 21981085680286617247326465648540299971992458190, 42365204008121479953778053151554168422400000000, 20920904707610493241924377900909045138944030640, 82651709306140991904344925386841469747718918430], 'label': '10749542400000000.cs.800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044573
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1569439854673042629089133894551482332242271427, 550922134868740941630644456125794363810066525, 40823664270270882809881249030137178980498341061, 82114922935583164447538602183159814559867018343, 550922116975843724847847258659700795693104591, 67, 20920904698664044470400366571144841869174575551, 1569439845726593857566366782745653861256197859, 111, 81605664071734060828413950225344098678911645325, 20425781589653135037250468528534554988321008111, 42365204008121479953778107103608329803929879611, 21981085680015262940184087391232851968000000000, 550922116975843703070107182711386938424940819, 82114922935583164447538602183160525928456202179, 40795764162394886728572803071408120258145290183, 20425781580706685949950381698514209996800000000, 1569439845726593236497489671748373715066947699, 20425781580706685949950383946516376946031696659, 48, 20920905601737317360307458287556066685786745459, 20920904698664044470400317115125624388436076831, 21981085680286617247326465648540299971992458190, 42365204008121479953778053151554168422400000000, 20920904707610493241924377900909045138944030640, 82651709306140991904344925386841469747718918430], 'label': '10749542400000000.cs.800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044574
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [8842165285200828560179200000000, 1060180990297693766995916899441499999617238415, 20, 41332551418659334752623658036342994042001228739, 27461728753955084149456896010125, 27527506453833827409257367245771065381930080, 621068852382974134361281504118, 83188496562660356779326158025354255180076451305, 9462427552413548739082767196820, 1060180998989234844724223802353540298315600505, 27461728753955084149475616979294, 8691567298932631015862779176669392759, 27461728753955084149456896000000, 94, 27461728753955084149457414918400, 9767719188486388493844480000000, 119, 26584437368957302076848280420974992119, 27527515128937449732305093059447148317651299, 61716668887372050563876637626289036919930220180, 8842165285200828560192172965834, 36303894039155912709649508131220, 26058203156818593612457913885209637859, 526271136294941721883919300339491294, 40823291695161786544049610643085213879366896580, 526262294936239443308570652924233065], 'label': '10749542400000000.cs.800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044575
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [8842165285200828560179200000000, 20, 27527801423509946692947996633268756902142118, 14135746418052550157851286064382733009264024, 27461728753955084149456896010125, 958048605, 1582831605762410817643040667354908819253383535, 27461728753955084149456896051120, 27461728753955084149456896000000, 526271136294993425936625119948143945, 20935040748998213678974787990873482770730842740, 9217837814158719179681270864286661304, 94, 621068850134992618231096304714, 1073945038893046911727462005028768761370444898, 26536174929349587964990286076334, 9767719188486388493844480000000, 119, 536787256790717930305598178647709007109267121, 86499, 9217828972799992173082776008486294905, 26584464210423739363424230336197779854, 8842165285200848122988703328641, 1046045261517675896371305049965117320592682199, 8842165286375933411487104694980, 925553903285560645040136202154, 9767719268341543912980972648960], 'label': '10749542400000000.cs.800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044576
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [8842165285200828560179200000000, 20, 27527801423509946692947996633268756902142118, 14135746418052550157851286064382733009264024, 27461728753955084149456896010125, 82114551845847678039457501802126294318700916574, 958048605, 1582831605762410817643040667354908819253383535, 27461728753955084149456896051120, 27461728753955084149456896000000, 526271136294993425936625119948143945, 20935040748998213678974787990873482770730842740, 9217837814158719179681270864286661304, 94, 621068850134992618231096304714, 26536174929349587964990286076334, 9767719188486388493844480000000, 119, 536787256790717930305598178647709007109267121, 86499, 9217828972799992173082776008486294905, 26584464210423739363424230336197779854, 8842165285200848122988703328641, 1046045261517675896371305049965117320592682199, 8842165286375933411487104694980, 925553903285560645040136202154, 9767719268341543912980972648960], 'label': '10749542400000000.cs.800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044577
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [2248507975376572081204, 3, 315777242213260912102398066012, 363600, 77607275964362407026008, 384853797199872000, 14135746418016268041576832394707860485923215, 371714285150208000, 26313083693370026293644697014853718503, 23, 1583280, 1569439854944395694900317299674527223892923639, 35682825189021311745314964218263, 506519820398592000, 1060181276592240957818833397604741673483586019, 21777792853243351938122149212, 550923011883820746116285357732386307157256428, 11292160911564520605416646979, 81591529514667418680277752503655100990053351146, 1596968541531783468026705604420156813180267660, 1134720, 1582831605491029680326339899896440689363718404, 81619055857556681177135592440307429123634404532, 271354307142377184877484751490213688, 506519820917510400, 27527506182453005869899973836827612640451780, 25903614200896245099616, 1569440444883732710019143127366132009697026505], 'label': '10749542400000000.cs.800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044578
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26313084009146567078873576793634682176, 396154456853043064946270250546940298704307066233, 3, 5760, 1175092381343333417043, 886232917314159176547332875339025788105, 17637989522988386546594140525866726573, 271353697365610353822359271432323783, 19939419282263047, 376629378048004, 11292240766706800223071800967, 526288221334398641403609968226237390, 82128314695347600913145189064149888367366211699, 305291714752891410583037770803, 271363443307059939373437438680547885, 1073572767428766068710806258428879905914732758, 8, 19228043907072016, 27527532495537320308102052115378825332474171, 12972965783, 14136050334133231750507047802592204588899710, 550922143034020323713900756769488556998882691, 51704033477777178261851, 86403, 621068850134979813484123858576, 733263938669871152761402358384829976000420282766, 1060180990569030368836438392301911524001535923, 26313083715147169524712845728510863460, 77607147916906933248003], 'label': '10749542400000000.cs.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044601
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [17637988913211722051162491204239723615, 26584437390734964545635119243474653288, 363600, 193077561600, 13181539210973295, 26584437368957922474293165810999922015, 1596967351909046253662006549311533784598590815, 10083, 523395218897005456643087273456101695518782855, 1569439872311030616748762250241954499831507200, 26584437380249385381738283182104889607, 271353675587872628089794900707902820, 815391882258108391190479369803381999125253077719, 14135773002453637000634547167168503259503943, 106378282080, 5780, 1073572758753661532127337983815004026918974893, 17637988913211644444040895292523562099, 26584437368957304324849735801834056899, 88176211200, 1175091669949317125764, 1582831632075467354575252146957663457263878496, 10080, 52879144710709397208968, 42378595768157306355312985940321457414355052234], 'label': '10749542400000000.cs.800._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044579
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [2248507975376572081204, 3, 315777242213260912102398066012, 363600, 77607275964362407026008, 384853797199872000, 27900090509361464755437224698254988985597312, 14135746418016268041576832394707860485923215, 371714285150208000, 26313083693370026293644697014853718503, 23, 1583280, 1569439854944395694900317299674527223892923639, 35682825189021311745314964218263, 506519820398592000, 1060181276592240957818833397604741673483586019, 21777792853243351938122149212, 550923011883820746116285357732386307157256428, 11292160911564520605416646979, 1596968541531783468026705604420156813180267660, 1134720, 1582831605491029680326339899896440689363718404, 81619055857556681177135592440307429123634404532, 271354307142377184877484751490213688, 506519820917510400, 27527506182453005869899973836827612640451780, 25903614200896245099616, 1569440444883732710019143127366132009697026505], 'label': '10749542400000000.cs.800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044580
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [1046045252826099450788440266121182892789097601, 104, 27527506182453311161510245257781963473344560, 21443927637947882600902290789864955736362641841, 1174320, 25, 550923315273675120888184713066797487794127385, 19939418763264000, 28151128699432900761674, 17366635237623772991037100177416917780, 1175091669956023913614, 609776689223447660421771712575, 11292162086649809122020668205, 550922143560316744366943859280086783400170255, 936846117076237174200967372838, 958809600, 536786397142265751317503838079904672393167380, 119, 1190149016289051217585772962884054239384, 19939437485049600, 1582831605491030617172455801028052127578197785, 312862565114162876416735530923877158415, 271353675587951308127934568071110474, 806400, 7134672309811215, 711374856998415, 83174360842029170784953558676643984751868783441, 1128960, 315777266941276923191046489699, 1582831605491030007396387077579586682045424759], 'label': '10749542400000000.cs.800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044581
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [9767719189661480540404973228954, 8842165285200828560179200000000, 20, 26841466488990366137484878572874, 35682825190196032077403496861361, 35682825189020959970256018263065, 21981086279172436855198569375530105214180307238, 14135746418051929088972999989701994057312641, 27527506708750046785208040943437117665337719, 1046045851456984839983418754003527991783219299, 1596967351909073388318954266066192230300988259, 1569440454085097994916172784375867839238511945, 9767719188486395628515831934099, 104703154302942450383850639596963561698281933981, 27461728753955084149456896000000, 27461728753955084149456896086499, 35378340135870372715402552314745, 94, 9767719188486388493844480000000, 119, 1060180981351227932211350840778619420969938099, 1596967352180435285003260784894589042678949700, 9217838435227490634717871179503366499, 36303894039155913086246313984020, 35682825189020959970255499274161, 82128315589729316554547575588056917901477195625, 536786370557854918535079406786823027669451719], 'label': '10749542400000000.cs.800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044582
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [9767719189661480540404973228954, 8842165285200828560179200000000, 20, 26841466488990366137484878572874, 35682825190196032077403496861361, 35682825189020959970256018263065, 21981086279172436855198569375530105214180307238, 14135746418051929088972999989701994057312641, 27527506708750046785208040943437117665337719, 1046045851456984839983418754003527991783219299, 1596967351909073388318954266066192230300988259, 1569440454085097994916172784375867839238511945, 9767719188486395628515831934099, 146544963100858483948340488967326108427235892921, 27461728753955084149456896000000, 27461728753955084149456896086499, 35378340135870372715402552314745, 94, 9767719188486388493844480000000, 119, 1060180981351227932211350840778619420969938099, 1596967352180435285003260784894589042678949700, 9217838435227490634717871179503366499, 36303894039155913086246313984020, 35682825189020959970255499274161, 82128315589729316554547575588056917901477195625, 536786370557854918535079406786823027669451719], 'label': '10749542400000000.cs.800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044583
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [134805535767792015, 1060180981622573070925626044919468094402704000, 121666023198720000, 363600, 365291007814656003, 489603, 2248123121584681381208, 271353675587949060510956206104172820, 52879631667546375014411, 2248494794017985646736, 27527523820441919081569145380832642064429376, 321282752811109393503275494486548928676, 141228831744000000, 28151493990428262510739, 550922117502105692714736456300353599777047696, 506519820398592000, 1582831605491030617173050397893579948796789205, 61730804903244231007848134034077641471859932864, 61730804624843583586637975606946540539455699260, 61730805797625973185425915192270468968450224491, 229776299088059312250872080102156071117536821104, 621068927742133400447000138892, 17637989218503308667990497948108043608, 17366635237623772991421242600279884096, 489600, 489608, 82142450737532936068098964215894937735016015379, 1219680, 21777816507977863154443794488], 'label': '10749542400000000.cs.800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044584
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [292015990852871185682632224156349382283678989503, 8691540773244571081305076888237323711, 121666023198720000, 489623, 17637988924505048500371212220500247696, 363600, 77607647678647558090087, 11292162086777856577413483611, 27527506182479825560506963172534562446282148, 26976152272198352842095, 14135773002454224997697672651154904669975769, 365290989612595223, 21777816508343154137788318841, 141228831744000000, 489616, 506519820398592000, 11292239591961193237224394087, 9217802153112459427906620419356991362, 489604, 903599552857075257814735883365852398820, 27527523820442224374989007869620304790823054, 526261673867388235919444456086751347, 2248366746543870038420, 489600, 1582832213323263606936322458758313981870594528, 2561648884352881567014986, 1913100714473457700080007, 21471827996842473995594191829961395167760685431, 1219680], 'label': '10749542400000000.cs.800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044585
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [1582832803788861076368536502739787654667552074, 526262599421342050049513482752131768, 14135773002454552067770650293317903362349998, 5760, 21777738901343224148201651310, 1582831623383927212888856607869269843582623870, 121666023198720000, 134805542473411278, 26, 958013280, 384853797199872000, 536786379504276522328592453301308798319861914, 17637989850057708641126223840190003200, 925553930261699066369784060318, 52879125147725537347706, 12972970080, 14135746418016268041600487514114706173957772, 86, 41318787961327195646333610235682267887480379604, 20948432205117851163150247205464200331606922172, 38, 1046045235459464834233544386075274316810457046, 27527514873994062627074553277270426045271126, 321554123876221183853062333407436146510, 493338462769152000, 1175456960950944798030, 305291714753013076611545344598, 134805535248505758], 'label': '10749542400000000.cs.800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044586
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [523394611319653013914239505568421843136118940, 523394610793391012977475223548601755778048103, 41319158773188277730258040951355475408188361056, 20920905593045759535095265577147916291116207499, 20920905298076126372403987040164745907152626103, 41319159667569993382951913934806455120229443200, 41319158773188278655811943164005623473757264640, 59, 41319158773459632342693216425351796227593968103, 12973001056, 20398254074524233259857749739363852958132515840, 40795764162394886717280563479805794713600086519, 20920904698664044470400288964002971648000000000, 20920904698664044492178030112847889592591332460, 775091613501704225616760875244091395564154039685, 19160064000, 41319158799501362349183803775273670470157515600, 60, 885961554807700664897642015052070971419, 305291637247932847467967375440, 41319158773188278361812519706762820941133522663, 20920904698664044470400288964002971648000005760, 41319158773188278655811944236916120784064842919, 41319158799501361728921589441672592775415517296, 20920904698664044470400288964002971648518924176, 20398254074524233259857749739351048192000000000, 20398254074524234185411654200021879863477283819], 'label': '10749542400000000.cs.800._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044587
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [448560, 19562808545280004, 526262283644078532013326092311775284, 621068850134985860156989440015, 20, 1582831623383927528663613604640711332737702260, 14135746689370531628344655692109832121792576, 27527523820441908597179275949289493418188136, 81591529514667418680277752503417857475513772026, 210947485449982178022292327866496532134480593962, 1060181302905324651189402582883178030494127374, 11292238518699297987845740803, 936846091173141920946174093380, 26058175706382026472282498136176613695, 1060181893099568466809698037777654724948083056, 81591901508257374154326939222144262627313985218, 13181357629440000, 12455135283, 7, 523394628431380535965861770135607602629912891, 1582832205174457330821024781554759066428665536, 41869336912456991001709676858128347303344486463, 249713497313280000, 1175104851326107072560, 21777738900836704322495096899, 13181358148806963, 373680, 523395809362576106383475910928815101574517757], 'label': '10749542400000000.cs.800._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044588
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [62763086983708878583112162875189990351389455386, 2248021018363760640000, 448560, 7, 41346686279370730420350670662766895142113653680, 13181357629440000, 2534672751643485573120000, 249713497313653680, 303916116658416027343136804044800000000, 17892896911491160051384006184510533680, 13181357629440038, 93405760560, 35694117349932484988633088000000, 20398254074524233259857749739600761689313653680, 229775927094469373524306726311289860958228377580, 621068850134985860156989440000, 754198607408702175818155033549858333087653992350, 368392595760], 'label': '10749542400000000.cs.800._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044589
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26313084009146567078873576793634682176, 3, 5760, 1175092381343333417043, 886232917314159176547332875339025788105, 17637989522988386546594140525866726573, 271353697365610353822359271432323783, 19939419282263047, 376629378048004, 11292240766706800223071800967, 526288221334398641403609968226237390, 82128314695347600913145189064149888367366211699, 305291714752891410583037770803, 271363443307059939373437438680547885, 1073572767428766068710806258428879905914732758, 8, 19228043907072016, 27527532495537320308102052115378825332474171, 12972965783, 14136050334133231750507047802592204588899710, 550922143034020323713900756769488556998882691, 51704033477777178261851, 86403, 621068850134979813484123858576, 733263938669871152761402358384829976000420282766, 375233179292194180483020202038258903324222452034, 1060180990569030368836438392301911524001535923, 26313083715147169524712845728510863460, 77607147916906933248003], 'label': '10749542400000000.cs.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044590
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [62763086983708878583112162875189990351389455386, 2248021018363760640000, 448560, 7, 229775927094469373524306726311289860958228003900, 41346686279370730420350670662766895142113653680, 13181357629440000, 2534672751643485573120000, 249713497313653680, 303916116658416027343136804044800000000, 17892896911491160051384006184510533680, 13181357629440038, 93405760560, 35694117349932484988633088000000, 20398254074524233259857749739600761689313653680, 621068850134985860156989440000, 754198607408702175818155033549858333087653992350, 368392595760], 'label': '10749542400000000.cs.800._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044591
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [62763086983708878583112162875189990351389455386, 2248021018363760640000, 448560, 7, 229775927094469373524306726311289860958228003900, 41346686279370730420350670662766895142113653680, 13181357629440000, 2534672751643485573120000, 249713497313653680, 303916116658416027343136804044800000000, 17892896911491160051384006184510533680, 13181357629440038, 93405760560, 35694117349932484988633088000000, 20398254074524233259857749739600761689313653680, 621068850134985860156989440000, 754198607408702175818155033549608619590340712350, 368392595760], 'label': '10749542400000000.cs.800._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044592
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [62763086983708878583112162875189990351389455386, 2248021018363760640000, 448560, 7, 41346686279370730420350670662766895142113653680, 13181357629440000, 2534672751643485573120000, 249713497313653680, 303916116658416027343136804044800000000, 17892896911491160051384006184510533680, 13181357629440038, 93405760560, 35694117349932484988633088000000, 20398254074524233259857749739600761689313653680, 229775927094469373524306726311289860958228377580, 621068850134985860156989440000, 754198607408702175818155033549608619590340712350, 368392595760], 'label': '10749542400000000.cs.800._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044593
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [82114922935583164447538602183173330675867648019, 81605664071207789692117071850186278961152000000, 42365204008121479953778053151554168422401134739, 295241021878258318770436335206400000019, 11, 82651709306140991904344925386841469747200000000, 1914173239405265879040000, 42365204008121479953778053152041125434253312000, 21981085680015262940184087391232851968000000000, 42365204008121479953778054326645838371717120000, 20425781589653134405695961724199622410240000000, 40795765048356441524981228377447809765670971360, 82128687878552062258703684401634178030781301045, 82114922935583164447538602183159814566054041611, 1569439845726611529798166374580003799040000000, 550922116975843703070107182711387124277561619, 82637946161416519060589194998979960471698341061, 42365204008121479953778053151554168422400000000, 82651709306140991904344925386841469747200806400], 'label': '10749542400000000.cs.800._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044594
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [9462428172913040703118540800099, 925553903285559933758685312000, 21981085680015271782349372592061412147200000045, 621068850134972678819038982400, 36303894039155912709636096000000, 21980714572650036373057970121415532797681695381, 599683409052707018374736135454720000099, 1073572741115654913612646407363310387200000099, 26841468994439079295943147520099, 27461728753955084149456896000000, 12804747411456099, 26584464830685978424790894247936000000, 99, 27461728753955084149456896045360, 9767719188486388493844480000000, 62239691496426652975544687289212678739770674581, 9462427552413920076757180416000, 621068850134972678799361139139], 'label': '10749542400000000.cs.800._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044595
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1219680, 8842165285200963365714448873600, 11, 1582831605491029680326337651881803776001134720, 775105749230755597772751809130319941289274266294, 365290988654592000, 134805716312123520, 621572767752005702766720, 1269048277894079434838400, 17892896911491160051370824826880363600, 1583280, 599412046534953861721287922689135081600, 82651709306140991904344925386841469747201496880, 13413264480, 62763086983708878583112162875292051720463396586, 448679, 35672339611031648284311553134720, 489600], 'label': '10749542400000000.cs.800._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044596
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [523394611319653013914239505568421843136118940, 523394610793391012977475223548601755778048103, 41319158773188277730258040951355475408188361056, 20920905593045759535095265577147916291116207499, 20920905298076126372403987040164745907152626103, 41319159667569993382951913934806455120229443200, 41319158773188278655811943164005623473757264640, 59, 41319158773459632342693216425351796227593968103, 12973001056, 20398254074524233259857749739363852958132515840, 40795764162394886717280563479805794713600086519, 20920904698664044470400288964002971648000000000, 775091612321036141697093436504214073772726522717, 20920904698664044492178030112847889592591332460, 19160064000, 41319158799501362349183803775273670470157515600, 60, 305291637247932847467967375440, 41319158773188278361812519706762820941133522663, 20920904698664044470400288964002971648000005760, 372584326890492654368154158136503545158294, 41319158773188278655811944236916120784064842919, 41319158799501361728921589441672592775415517296, 20920904698664044470400288964002971648518924176, 20398254074524233259857749739351048192000000000, 20398254074524234185411654200021879863477283819], 'label': '10749542400000000.cs.800._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044597
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [523394611319653013914239505568421843136118940, 523394610793391012977475223548601755778048103, 41319158773188277730258040951355475408188361056, 20920905593045759535095265577147916291116207499, 20920905298076126372403987040164745907152626103, 41319159667569993382951913934806455120229443200, 41319158773188278655811943164005623473757264640, 59, 41319158773459632342693216425351796227593968103, 12973001056, 20398254074524233259857749739363852958132515840, 40795764162394886717280563479805794713600086519, 20920904698664044470400288964002971648000000000, 20920904698664044492178030112847889592591332460, 19160064000, 41319158799501362349183803775273670470157515600, 60, 41319159086313991681061121750351966075752354023, 305291637247932847467967375440, 41319158773188278361812519706762820941133522663, 20920904698664044470400288964002971648000005760, 372584326890492654368154158136503545158294, 41319158773188278655811944236916120784064842919, 41319158799501361728921589441672592775415517296, 20920904698664044470400288964002971648518924176, 20398254074524233259857749739351048192000000000, 20398254074524234185411654200021879863477283819], 'label': '10749542400000000.cs.800._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044598
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [885961527955746116073023046942720000059, 20398254074524233259857749739351048192000000060, 40795764162394886717283072249430194333941760000, 20920904698664044470400288964002971648000000000, 733277702987632958558788560258552447447690895869, 20920904698664044470400288964265489892724736103, 262013875200, 20920905315187818244698408068612499701760000103, 523394610793409001793098775792600350720000060, 59, 40795764475520600668083646526803740949352354023, 79855142614381854720000, 41319158773188277730258038703354019840001538039, 10080, 20398254074524233259857749739351048547938105616, 20398254074524233259857749739485853727248384119, 20398254074524233575634963801483260854272000016], 'label': '10749542400000000.cs.800._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044599
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [17637988913211722051162491204239723615, 26584437390734964545635119243474653288, 363600, 193077561600, 62790613891005547033185955264053324821942400072, 26584437368957922474293165810999922015, 13181539210973295, 1596967351909046253662006549311533784598590815, 10083, 523395218897005456643087273456101695518782855, 1569439872311030616748762250241954499831507200, 26584437380249385381738283182104889607, 271353675587872628089794900707902820, 14135773002453637000634547167168503259503943, 106378282080, 5780, 1073572758753661532127337983815004026918974893, 41332550550590712855018365965547563925180820972, 17637988913211644444040895292523562099, 26584437368957304324849735801834056899, 88176211200, 1175091669949317125764, 1582831632075467354575252146957663457263878496, 10080, 52879144710709397208968, 42378595768157306355312985940321457414355052234], 'label': '10749542400000000.cs.800._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044600
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [536786370829217436288260788860004700313344009, 305291690024875399475229721700, 376610736947779, 8946457918173158342462787200716800000, 27527506182471310462763490821000044469950881, 20, 732726781461122695240914660584233664509767834871, 41346686279642120084055447064790527570440295042, 51704053040578498691760, 689245546164274111756432165794259183017299543150, 41346687191390469460014899653690749968135034983, 2248014636913363850172, 925553983140721776091999836255, 41319158773459631427624347061890135881938450505, 19562809503414967, 41332550533224103522014369168139906031736210023, 958089603, 80655, 11292239591609418351157374020, 526262294936239443321751737043728492, 14135746689370553406083556291905390862399460, 550922117502141680831587350993465929758693762, 14135746418017171817740143734752559634733936, 315777292742183157113971125659, 4, 1060180981622599585322713085591345080226305932, 61207409996954927791371209194576886855320220249, 10080, 78680050944432537645360], 'label': '10749542400000000.cs.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044602
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [17637988913211722051162491204239723615, 733277703291557280067443194920050642989466959476, 26584437390734964545635119243474653288, 363600, 193077561600, 13181539210973295, 26584437368957922474293165810999922015, 1596967351909046253662006549311533784598590815, 10083, 523395218897005456643087273456101695518782855, 1569439872311030616748762250241954499831507200, 26584437380249385381738283182104889607, 271353675587872628089794900707902820, 14135773002453637000634547167168503259503943, 106378282080, 5780, 1073572758753661532127337983815004026918974893, 17637988913211644444040895292523562099, 26584437368957304324849735801834056899, 88176211200, 1175091669949317125764, 1582831632075467354575252146957663457263878496, 10080, 52879144710709397208968, 42378595768157306355312985940321457414355052234], 'label': '10749542400000000.cs.800._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044603
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [526261673867387060334436379300108160, 506519820398602080, 5767, 193077561600, 21457691069221871927206612167684627023181528960, 936846064197104891461632000000, 106378282080, 35672339611031648284311552005760, 52879125147719270410080, 1207515633527373787860181183365120000000, 41332550550590712855018365965547563925180820972, 88176211200, 1914173239405265879045760, 815887376761042275986086338427179233770447425256, 10080, 10118, 42378968083029969254450153696875556592016808244, 82651709306140991904344925386841469928781533280, 19228225488600960], 'label': '10749542400000000.cs.800._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044604
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [41332550550590712855018365965547563925180453052, 526261673867387060334436379300108160, 506519820398602080, 5767, 193077561600, 21457691069221871927206612167684627023181528960, 936846064197104891461632000000, 42378968083029969254450153696875556592016440324, 106378282080, 35672339611031648284311552005760, 52879125147719270410080, 1207515633527373787860181183365120000000, 88176211200, 1914173239405265879045760, 815887376761042275986086338427179233770447425256, 10080, 10118, 82651709306140991904344925386841469928781533280, 19228225488600960], 'label': '10749542400000000.cs.800._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044605
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [526261673867387060334436379300108160, 506519820398602080, 5767, 193077561600, 815887376761042275986086338427179233770447067416, 21457691069221871927206612167684627023181528960, 936846064197104891461632000000, 106378282080, 35672339611031648284311552005760, 52879125147719270410080, 1207515633527373787860181183365120000000, 41332550550590712855018365965547563925180820972, 88176211200, 1914173239405265879045760, 10080, 10118, 42378968083029969254450153696875556592016808244, 82651709306140991904344925386841469928781533280, 19228225488600960], 'label': '10749542400000000.cs.800._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044606
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [52879259953260786085207, 733277703291557280067443194920050642989466959476, 523395791995976845584367102492880185434223979, 1046045234933202550589468102171553687352229875, 5760, 77607147916888731187215, 40823292276409582491925060184404857493691352986, 363600, 78680063749187174006900, 8946448467037767913247836873334333284, 365290988654959935, 1582832500399007006887059299555146190939484746, 17366635858692623126015825850822456963, 27527515128901472907638662802512660608271936, 915068402903780683648373616491, 122000787836928000, 523395800671036542207943936341554510951410571, 243290200817664000, 27528122961135377738620118864797322959954560, 621068877111355436456865859699, 243290219538653280, 21777818755992123458027126880, 2248244745756552310320, 378095736066048000, 250048262909864880, 1582832517765641329441833717900213894765891127, 25903242486605346872404, 271354601141854594065587365465714560], 'label': '10749542400000000.cs.800._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044607
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [52879259953260786085207, 523395791995976845584367102492880185434223979, 1046045234933202550589468102171553687352229875, 732754308698385432301660549932873501240608980450, 5760, 77607147916888731187215, 40823292276409582491925060184404857493691352986, 363600, 78680063749187174006900, 8946448467037767913247836873334333284, 365290988654959935, 1582832500399007006887059299555146190939484746, 17366635858692623126015825850822456963, 27527515128901472907638662802512660608271936, 62790613891005547033185955264296615022760069832, 915068402903780683648373616491, 122000787836928000, 523395800671036542207943936341554510951410571, 243290200817664000, 27528122961135377738620118864797322959954560, 621068877111355436456865859699, 243290219538653280, 21777818755992123458027126880, 2248244745756552310320, 378095736066048000, 250048262909864880, 1582832517765641329441833717900213894765891127, 25903242486605346872404, 271354601141854594065587365465714560], 'label': '10749542400000000.cs.800._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044608
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [52879259953260786085207, 523395791995976845584367102492880185434223979, 1046045234933202550589468102171553687352229875, 5760, 77607147916888731187215, 40823292276409582491925060184404857493691352986, 363600, 78680063749187174006900, 8946448467037767913247836873334333284, 365290988654959935, 1582832500399007006887059299555146190939484746, 17366635858692623126015825850822456963, 27527515128901472907638662802512660608271936, 62790613891005547033185955264296615022760069832, 915068402903780683648373616491, 122000787836928000, 523395800671036542207943936341554510951410571, 243290200817664000, 27528122961135377738620118864797322959954560, 41332550550590712855018365965419851135191915452, 621068877111355436456865859699, 243290219538653280, 21777818755992123458027126880, 2248244745756552310320, 378095736066048000, 250048262909864880, 1582832517765641329441833717900213894765891127, 25903242486605346872404, 271354601141854594065587365465714560], 'label': '10749542400000000.cs.800._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044609
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [243290213790634080, 35694117349932484988633088010080, 41332550532952714174086886683858787582132234080, 622747744179228315653760, 733277703291557280067443194920050642989466959476, 5760, 9146650338351415815045120000000, 378095736066048000, 243290200817664000, 51704033477769953280000, 894381714737624309038496024119676933760, 86, 122000787836928000, 83188495676698819361151248590894462615732234080, 1596596244806933111756458426091987749754090930, 365290988654602125, 87657292800, 17892896911491160051377582888013834080], 'label': '10749542400000000.cs.800._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044610
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [243290213790634080, 35694117349932484988633088010080, 41332550532952714174086886683858787582132234080, 622747744179228315653760, 5760, 9146650338351415815045120000000, 378095736066048000, 733277703291557280067443194920050642989466595876, 243290200817664000, 51704033477769953280000, 894381714737624309038496024119676933760, 86, 122000787836928000, 83188495676698819361151248590894462615732234080, 1596596244806933111756458426091987749754090930, 365290988654602125, 87657292800, 17892896911491160051377582888013834080], 'label': '10749542400000000.cs.800._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044611
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353675587873700993533807874105616, 1060180990042759537026577972223203150412073660, 1175098428029611094408, 5767, 518969531, 17892896911491212930515200596324490259, 17366635237623775239179407961382508823, 6706032500, 40823291685943975276551397729489864686378614880, 17637988934989385592866250328458185044, 7, 86419, 1569439854673042323797525973179397121886636682, 6423296495747767, 754198235414840918489052816873170167799340110059, 35682825190196531462826492553015, 4, 536786379504276838105806515305473631577033125, 1073573349219268431722467974598510734357091753, 21777738900836704334948166488, 1596596244806933111756458426213988537592193250, 26584464220910558249417005273831924667, 27527523549087949494222531094334045239455460, 14135764056005170767666942102471746006142007, 13516128534585603, 26058175716867577485793686923034453843, 9217820120149076206506162922340668135, 376616485008004, 621068904087020793495131130779], 'label': '10749542400000000.cs.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044612
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [243290213790634080, 35694117349932484988633088010080, 41332550532952714174086886683858787582132234080, 622747744179228315653760, 733277703291557280067443194920050642989466959476, 5760, 9146650338351415815045120000000, 378095736066048000, 243290200817664000, 51704033477769953280000, 894381714737624309038496024119676933760, 86, 122000787836928000, 83188495676698819361151248590894462615732234080, 1596596244806933111756458426091987749753728770, 365290988654602125, 87657292800, 17892896911491160051377582888013834080], 'label': '10749542400000000.cs.800._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044613
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [699179550754522263154579, 21778361648350774707621437303, 26313084324926315813725441888923653833, 26584437978735182741053492193777817623, 733277703291557280067441955198338846459905363796, 2534672745596799814416484, 17892897216782873731372389484357832943, 376610217984000, 28151109136618168745543, 1582831622857664939727877695350614188619971140, 26584446820899898073513780663601167299, 14135772731100266703830473380086959938876750, 1060180998717854622476595894090881046831427699, 526261673868627957144325818854763611, 1240896803466479837096895, 363600, 28151109136611901807923, 10080, 21994477440051088742427314349607219601783260122, 1318503944625305518085760, 77607141158826639727927, 2534672732080677027840000, 1269047913314478090761527, 699179543619843686400000, 26313083693370593913538072449515480407, 1569441044024460620657185819778202051947530180, 5776], 'label': '10749542400000000.cs.800._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044614
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [699179550754522263154579, 21778361648350774707621437303, 26313084324926315813725441888923653833, 26584437978735182741053492193777817623, 732754308698385432301661144529495404344973160850, 2534672745596799814416484, 17892897216782873731372389484357832943, 376610217984000, 28151109136618168745543, 1582831622857664939727877695350614188619971140, 26584446820899898073513780663601167299, 14135772731100266703830473380086959938876750, 1060180998717854622476595894090881046831427699, 526261673868627957144325818854763611, 62790613891005547033187220888872802408190080072, 1240896803466479837096895, 363600, 28151109136611901807923, 10080, 21994477440051088742427314349607219601783260122, 1318503944625305518085760, 77607141158826639727927, 2534672732080677027840000, 1269047913314478090761527, 699179543619843686400000, 26313083693370593913538072449515480407, 1569441044024460620657185819778202051947530180, 5776], 'label': '10749542400000000.cs.800._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044615
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [699179550754522263154579, 41332550550590712855017721913130547275467985292, 21778361648350774707621437303, 26313084324926315813725441888923653833, 26584437978735182741053492193777817623, 2534672745596799814416484, 17892897216782873731372389484357832943, 376610217984000, 28151109136618168745543, 1582831622857664939727877695350614188619971140, 26584446820899898073513780663601167299, 14135772731100266703830473380086959938876750, 1060180998717854622476595894090881046831427699, 526261673868627957144325818854763611, 62790613891005547033187220888872802408190080072, 1240896803466479837096895, 363600, 28151109136611901807923, 10080, 21994477440051088742427314349607219601783260122, 1318503944625305518085760, 77607141158826639727927, 2534672732080677027840000, 1269047913314478090761527, 699179543619843686400000, 26313083693370593913538072449515480407, 1569441044024460620657185819778202051947530180, 5776], 'label': '10749542400000000.cs.800._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044616
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [711374856192000, 1318503944625305518085760, 315777214062132212662272010080, 41332550550590712855017721913130547275467623132, 77607141158826639370084, 2482968698603000479877760, 1569439845726593236497489671748373708800010080, 506519820398602080, 732754308698385432301661144529495404344973528770, 77607141158826639370140, 885961527955746116073023046942720000000, 2534672732080677027840000, 10080, 699179543619843686400000, 13412044800, 20398254074524233259858990636154514670878720000, 599157138536674346113573139251200005760, 8863943024101665264500736000000], 'label': '10749542400000000.cs.800._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044617
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [41332550550590712855017721913130547275467985292, 711374856192000, 1318503944625305518085760, 315777214062132212662272010080, 77607141158826639370084, 2482968698603000479877760, 1569439845726593236497489671748373708800010080, 506519820398602080, 732754308698385432301661144529495404344973528770, 77607141158826639370140, 885961527955746116073023046942720000000, 2534672732080677027840000, 10080, 699179543619843686400000, 13412044800, 20398254074524233259858990636154514670878720000, 599157138536674346113573139251200005760, 8863943024101665264500736000000], 'label': '10749542400000000.cs.800._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044618
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [41332550550590712855017721913130547275467985292, 732754308698385432301661144529495404344973160850, 711374856192000, 1318503944625305518085760, 315777214062132212662272010080, 77607141158826639370084, 2482968698603000479877760, 1569439845726593236497489671748373708800010080, 506519820398602080, 77607141158826639370140, 885961527955746116073023046942720000000, 2534672732080677027840000, 10080, 699179543619843686400000, 13412044800, 20398254074524233259858990636154514670878720000, 599157138536674346113573139251200005760, 8863943024101665264500736000000], 'label': '10749542400000000.cs.800._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044619
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [885961527955746116073023046942720000059, 20398254074524233259857749739351048192000000060, 40795764162394886717283072249430194333941760000, 20920904698664044470400288964002971648000000000, 20920904698664044470400288964265489892724736103, 262013875200, 20920905315187818244698408068612499701760000103, 733277702987632958558788560258552447447690895861, 523394610793409001793098775792600350720000060, 59, 40795764475520600668083646526803740949352354023, 79855142614381854720000, 41319158773188277730258038703354019840001538039, 10080, 20398254074524233259857749739351048547938105616, 20398254074524233259857749739485853727248384119, 20398254074524233575634963801483260854272000016], 'label': '10749542400000000.cs.800._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044620
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [885961527955746116073023046942720000059, 41319159086313991681061121750351966075752354023, 20398254074524233259857749739351048192000000060, 40795764162394886717283072249430194333941760000, 20920904698664044470400288964002971648000000000, 20920904698664044470400288964265489892724736103, 262013875200, 20920905315187818244698408068612499701760000103, 733277702987632958558788560258552447447690895861, 523394610793409001793098775792600350720000060, 59, 79855142614381854720000, 41319158773188277730258038703354019840001538039, 10080, 20398254074524233259857749739351048547938105616, 20398254074524233259857749739485853727248384119, 20398254074524233575634963801483260854272000016], 'label': '10749542400000000.cs.800._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044621
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [885961527955746116073023046942720000059, 41319159086313991681061121750351966075752354023, 20398254074524233259857749739351048192000000060, 40795764162394886717283072249430194333941760000, 20920904698664044470400288964002971648000000000, 733277702987632958558788560258552447447690895869, 20920904698664044470400288964265489892724736103, 262013875200, 20920905315187818244698408068612499701760000103, 523394610793409001793098775792600350720000060, 59, 79855142614381854720000, 41319158773188277730258038703354019840001538039, 10080, 20398254074524233259857749739351048547938105616, 20398254074524233259857749739485853727248384119, 20398254074524233575634963801483260854272000016], 'label': '10749542400000000.cs.800._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044622
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [131772, 86400, 17637988913211696148054810147553406003, 5760, 90723, 2248014636913802844240, 26058175695089837409379443451044899779, 536786388450724978074225357624911564715846483, 1046045234933203138589038924024760333274341130, 519044400, 27527514873993757335437304960657152658263052, 17892896933268978807369706351789040644, 2248014260303145785535, 61730804607476956276111189496507554322771761281, 2248001455555734319463, 12454132335, 376610736983060, 61730804911664436061251747667696595120729571934, 229776299687463118579832138709181491662323453326, 17892897216782823100241562386417949364, 28151109847987715721604, 1073572749807195382370925689285544781831507211, 8691541078534967432453309311014662403, 14135773002453942291702999287997330416624663, 83174359930280803441958702054383249219402866089, 271353675587873700986775747179452820, 13181358587488560, 41040, 814855467290156864936443724550198472434191730431, 82128314721932055943848690263647505900743725464, 21457691095806336736116738888861131994486399917], 'label': '10749542400000000.cs.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044623
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [9462427552413560832454803507158, 9462427552413548027720804054918, 26536174850669524215791616086474, 20398254092162248709244246028008205748018214998, 2248008213635070163200, 16, 74, 82114551845847669197292216601297734139500916574, 26536174850669524215792135004874, 9462427552413548027707392000000, 26536174850669524927179884242560, 62790241602445949239308924965719684944078292589, 17637998375639199105584331769700029456, 61207782302872938288302210841496259458638579920, 26536174850669524215810776150474, 61744197548172580036191289865354684526305331202, 8863943024101665264500736000000, 27527506453832901855354081672321184869547469, 61730804607476947433944637597937302739548042160, 9462427552413548027713659063600, 1046045243624752143416164777731265392030129869, 21981085697653261315823284248808970133285978720, 1582831605491039142753890065449770921834337120, 62790241628232788332558238634480551430598303920, 1596967352180426138352846001429285282137804749, 1060180981351218469783798427229880326706067760, 8691549919893694439025106498192136896], 'label': '10749542400000000.cs.800._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044624
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [9462427552413560832454803507158, 9462427552413548027720804054918, 26536174850669524215791616086474, 20398254092162248709244246028008205748018214998, 2248008213635070163200, 16, 74, 82114551845847669197292216601297734139500916574, 26536174850669524215792135004874, 9462427552413548027707392000000, 26536174850669524927179884242560, 62790241602445949239308924965719684944078292589, 104703154302942441564269676219224917111785934040, 17637998375639199105584331769700029456, 26536174850669524215810776150474, 61744197548172580036191289865354684526305331202, 8863943024101665264500736000000, 27527506453832901855354081672321184869547469, 61730804607476947433944637597937302739548042160, 9462427552413548027713659063600, 1046045243624752143416164777731265392030129869, 21981085697653261315823284248808970133285978720, 1582831605491039142753890065449770921834337120, 83188496562660373853073456281330443264300451309, 62790241628232788332558238634480551430598303920, 1596967352180426138352846001429285282137804749, 1060180981351218469783798427229880326706067760, 8691549919893694439025106498192136896], 'label': '10749542400000000.cs.800._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044637
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 800, 'diagramx': None, 'generators': [1240896803466478878720000, 55, 384853797199872000, 83188123979131126455119584093010567950174355791, 620499492675411148800000, 14135746418016246263783979029731737600000000, 26313083693369353016721801216000000000, 9146650338351415815045120000000, 376610217984000, 19678982400, 936846064197104891461632000000, 1190148998289750014869144794562560000000, 776880, 480968612652440174173131092433015671858090090905, 48, 367920, 100111334400, 42365204008121479953778053151554168422400000000], 'label': '10749542400000000.cs.800._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044625
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [9462427552413560832454803507158, 9462427552413548027720804054918, 26536174850669524215791616086474, 20398254092162248709244246028008205748018214998, 2248008213635070163200, 16, 74, 26536174850669524215792135004874, 9462427552413548027707392000000, 26536174850669524927179884242560, 62790241602445949239308924965719684944078292589, 17637998375639199105584331769700029456, 26536174850669524215810776150474, 61744197548172580036191289865354684526305331202, 8863943024101665264500736000000, 27527506453832901855354081672321184869547469, 61730804607476947433944637597937302739548042160, 125623686408867676417376914444240035386429255640, 9462427552413548027713659063600, 1046045243624752143416164777731265392030129869, 21981085697653261315823284248808970133285978720, 1582831605491039142753890065449770921834337120, 83188496562660373853073456281330443264300451309, 62790241628232788332558238634480551430598303920, 1596967352180426138352846001429285282137804749, 1060180981351218469783798427229880326706067760, 8691549919893694439025106498192136896], 'label': '10749542400000000.cs.800._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044626
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1496880, 53952034933325168640000, 646300418472124416000000, 9462427552413548027707392090758, 74, 550922116975853165497659596259414638592000038, 83188495676698828823578801004071152648192000038, 599412073386905926452579060154368000082, 125623686408867676417376914444240035386429255669, 12804747411456000, 9462427552413548027707392000000, 372049049788416038, 61207782302872938288302210841496259458638579920, 193077561600, 295241022509812746894700760530944000082, 8863943024101665264500736000016, 165896800824137805203718432684524372913871451429, 518918400], 'label': '10749542400000000.cs.800._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044627
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1496880, 53952034933325168640000, 646300418472124416000000, 9462427552413548027707392090758, 61207782302872937972524996779364046796366579920, 74, 550922116975853165497659596259414638592000038, 83188495676698828823578801004071152648192000038, 599412073386905926452579060154368000082, 125623686408867676417376914444240035386429255669, 12804747411456000, 9462427552413548027707392000000, 372049049788416038, 193077561600, 295241022509812746894700760530944000082, 8863943024101665264500736000016, 165896800824137805203718432684524372913871451429, 518918400], 'label': '10749542400000000.cs.800._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044628
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1496880, 53952034933325168640000, 646300418472124416000000, 9462427552413548027707392090758, 61207782302872937972524996779364046796366579920, 74, 550922116975853165497659596259414638592000038, 83188495676698828823578801004071152648192000038, 599412073386905926452579060154368000082, 12804747411456000, 9462427552413548027707392000000, 372049049788416038, 125623686408867676417376914444240035386429255640, 193077561600, 165896800824137805203718432684524372913871451400, 295241022509812746894700760530944000082, 8863943024101665264500736000016, 518918400], 'label': '10749542400000000.cs.800._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044629
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1496880, 53952034933325168640000, 646300418472124416000000, 9462427552413548027707392090758, 74, 550922116975853165497659596259414638592000038, 83188495676698828823578801004071152648192000038, 599412073386905926452579060154368000082, 12804747411456000, 9462427552413548027707392000000, 372049049788416038, 61207782302872938288302210841496259458638579920, 125623686408867676417376914444240035386429255640, 193077561600, 165896800824137805203718432684524372913871451400, 295241022509812746894700760530944000082, 8863943024101665264500736000016, 518918400], 'label': '10749542400000000.cs.800._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044630
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [1582832803788861076368536502739787654667552074, 526262599421342050049513482752131768, 14135773002454552067770650293317903362349998, 5760, 21777738901343224148201651310, 1582831623383927212888856607869269843582623870, 121666023198720000, 134805542473411278, 26, 958013280, 384853797199872000, 536786379504276522328592453301308798319861914, 17637989850057708641126223840190003200, 925553930261699066369784060318, 52879125147725537347706, 12972970080, 14135746418016268041600487514114706173957772, 356418501096635391802301964608531859475927954636, 86, 20948432205117851163150247205464200331606922172, 38, 1046045235459464834233544386075274316810457046, 27527514873994062627074553277270426045271126, 321554123876221183853062333407436146510, 493338462769152000, 1175456960950944798030, 305291714753013076611545344598, 134805535248505758], 'label': '10749542400000000.cs.800._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044631
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [448560, 20411645834288669703686597719484478259200000000, 7224940800, 83188123979131126455120824989954551885940929152, 26, 1198569185071628207834495770951680000000, 51704033477769953280000, 19, 81591529514667418680277752503417857475513772026, 1139040, 1941149256871928463360000, 82128314695347600891367450163293244620800000000, 13181357629440000, 9462427552413548027707392000000, 18598592312775672096227328000000, 355938105600, 249713497313280000, 312862565114161607368822216458240000000, 166406058516257096569696191107490916934905441825], 'label': '10749542400000000.cs.800._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044632
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [925555195886396877927084970080, 9767719240190421971614952204234, 83188123979131126455120179762305347910535315792, 5760, 305291687776873943913308217630, 21444300195164055767915032227758805587576032110, 26, 1292600836944248832000000, 51704283526031904819146, 536786370829181132394816229069059792393184158, 1914173239405265879040000, 26976017466663103244216, 86400, 9217802131334124755106671385698304086, 21777765876854170984639248518, 536786388450724673590411928729890413107232078, 936846710497523740196265989838, 536786683691755110500067024329260492164617568, 86, 271354002659160599901519312516005760, 14135746944278835200117908034815925769062412, 271380211763395398945098160362352528, 673276435938787000320000, 1240896816271226291023448, 51704033477782926245838, 536786370557854918536939627972443615202631020, 78], 'label': '10749542400000000.cs.800._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044633
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [81605664974281044897694291169028841610843122671, 14135764056005486544829299848720397081686415, 131764, 11292214863599830559005004887, 17892897848337277127620803433770645892, 5760, 17366635858693271674428995281551486077, 564186176655834072630219610348875006701203761445, 2248008590245727277371, 711381562295059, 17637989828280022619421801915543274819, 81591528350847949456722279419027718052374338722, 61730805519751594777178077017477554243657264655, 78680057702493671550012, 131775, 21981085680541559981100767914326489620654192692, 305292902872764795218050908351, 81605664670891207890668467226871621990900931246, 925553905533562100607805725363, 958003215, 1569439845997947227862603337981089855028065127, 80640, 6758067400848015, 621068877111002950209874700167, 7224981863, 526262610713479408548464116574464580], 'label': '10749542400000000.cs.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044634
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [550922143560316744366943859280086783400170255, 1046045252826099450788440266121182892789097601, 19939418763264000, 1582831605491030617172455801028052127578197785, 806400, 1175091669956023913614, 119, 524959107744145507444451479779389129160109917539, 104, 25, 28151128699432900761674, 315777266941276923191046489699, 1190149016289051217585772962884054239384, 27527506182453311161510245257781963473344560, 609776689223447660421771712575, 1128960, 17366635237623772991037100177416917780, 711374856998415, 271353675587951308127934568071110474, 550923315273675120888184713066797487794127385, 83174360842029170784953558676643984751868783441, 936846117076237174200967372838, 1174320, 312862565114162876416735530923877158415, 19939437485049600, 11292162086649809122020668205, 958809600, 7134672309811215, 1582831605491030007396387077579586682045424759, 536786397142265751317503838079904672393167380], 'label': '10749542400000000.cs.800._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044635
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [448560, 19562808545280004, 526262283644078532013326092311775284, 621068850134985860156989440015, 20, 1582831623383927528663613604640711332737702260, 14135746689370531628344655692109832121792576, 27527523820441908597179275949289493418188136, 81591529514667418680277752503417857475513772026, 754198607408702175818155033549608619590340712350, 1060181302905324651189402582883178030494127374, 11292238518699297987845740803, 936846091173141920946174093380, 26058175706382026472282498136176613695, 1060181893099568466809698037777654724948083056, 13181357629440000, 12455135283, 7, 523394628431380535965861770135607602629912891, 1582832205174457330821024781554759066428665536, 41869336912456991001709676858128347303344486463, 249713497313280000, 1175104851326107072560, 21777738900836704322495096899, 13181358148806963, 373680, 523395809362576106383475910928815101574517757], 'label': '10749542400000000.cs.800._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044636
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [11292189062673657235520838240, 1582831605491029702104155232769829146559298535, 62239691487208859685571150885782009885278352585, 776880, 59, 14135755109583839197698673845593921761085336, 107, 376629898459063, 27527506708714985028946761630998269932348798, 271353686880034612537780223103747198, 51704053417201170585600, 1139040, 2248021394980247064299, 55, 8691541078536778197625759385182527922, 609776767903478665448519336958, 376610219476663, 19228050614591283, 550922116975844618138459455004175499157487363, 1582831606017292279747654973793640128185454776, 13516134722466539, 550923324220132407506914931636832146063793921, 518928536, 766800, 81591528628705926091581472734516668498397894243, 6706032536, 1596967369275682079282248069581343284668144002, 1073572741641916914549410689742040111451278824], 'label': '10749542400000000.cs.800._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044641
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 900, 'diagramx': None, 'generators': [753648057562656163213742194712182093763344739940, 20398254074524260101324236481715730120704000000, 83188495676698819361151248590523124940800776880, 62790241602174586101293498851185258106429440000, 7, 18293300676702831630090240000000, 267761894400, 131760, 20398254074524233259859017612171981333463040000, 62790241628487669794662851867893877964800000007, 20398254074524233259857749739351048192000000000, 83188495676698819361151248590523125028018208007, 814841703823343766325305696237185759681595002814, 83188495676698819361151248590523124940800000000, 894907976411491696098708459356160000000, 815887376778672059134796311405417451290902558180, 83188495676698819361151302542558058265968640000, 23, 83188495676698819361151248591022886700064768000], 'label': '10749542400000000.cs.900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044642
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 900, 'diagramx': None, 'generators': [1457399, 18720979200, 81591529514667445510452078334480871808683436119, 36303894039155912709636096000000, 2508769624399620341760000, 167438340570934921232973626698998669187875795345, 1318503944625305518080000, 295767283552125705830770771230720000000, 62253455231616767486652460848318981734400000000, 8842165285200828560179201174439, 141228831744000119, 27527506182461532257917159991721984000000000, 105735436062379228472508768691956429025217089815, 1189877653456327428616988411166720000025, 119, 6423296495616094, 8842165285200828560366010624094, 25, 8842165285200828560179200000000], 'label': '10749542400000000.cs.900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044643
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 900, 'diagramx': None, 'generators': [230285557674305391768894373363162765561945825914, 55, 11, 35672339611031648284311552000000, 1198569185071628207834502194248176790320, 181062604800, 19939418763264000, 27461728753955084149456896000000, 622747494130966364527920, 6266937600, 13516122267648000, 1888372327124674880294400, 526261673867387060340859320816790320, 806400, 20411645834288669703686597719490901555696422400, 166406058516257096569696191107740253822001095665, 367920, 550922116975843703070107182731326349963264000], 'label': '10749542400000000.cs.900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044644
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [83188495676698820297999846285268803740879996084, 480431827159160583872532126027615799746763173690, 1046045235204555920885702409176136669511743379, 27527506453807280748881587547863548676115051, 13181371041571220, 19, 550922117247198010212432663068436899924489531, 2248014636912844931779, 19679033531, 271354307142299577249368912996135540, 550922117247197378660487405820491992664329052, 5763, 1569439846252882056316469504403184628456032650, 13412170800, 915068325296268187140614924179, 6706032492, 936846090100212949129495241520, 20920904698664063090772823609467181607648601616, 21777738900849885692138521683, 27527506708714385737836600404809410459980883, 958013283, 305291637247932136105566645615, 27528096919422444191227546103008906316380153, 631554479828297903114176384099, 4, 20920904698935398167765952197334286303633126503, 83160968170787720967715340467332557188841384903, 17366635847400462214464109805568367920], 'label': '10749542400000000.cs.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044645
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [267761894400, 19939418763264000, 243290200817664000, 607832233316832054686273608089600000000, 1941149256871928463360000, 936846064197104891461632000000, 733277703291557280067443194920050642989466595876, 83188495676698819361151248590523124940800000000, 81, 26536174850669524215791616000000, 321554105571627671787158136422400000000, 26, 87218208000, 61716668861058931187680852443808766361600000000, 1175091669949317120000], 'label': '10749542400000000.cs.960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044646
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121666023199486800, 6758061134590800, 616523773774298119104609528053760766800, 21981085680015262940184087391232851968000000000, 526261673867387060334436024321502640, 26841466486742364681928705139040, 41841809397328088940800577928005943296000766800, 1318503944625305518846800, 4, 1502640, 766860, 193077561600, 18293300676702831630090241502640, 673276435938787001459040, 518918400, 766800], 'label': '10749542400000000.cs.960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044647
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [622747494130966364160000, 733773197829479344577908241371617130765551752283, 74, 20920904698664044470400288964002971648000000000, 36303894039155912709636096000000, 107, 958003200, 262518244724736000, 17637988913211644444021332377600000000, 12804747411456000, 186810624000, 903328163193369889064059435745280000000, 62790241602174586101293498851172076748800000000, 21777738900836704321536000000, 1888372313608552611840000], 'label': '10749542400000000.cs.960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044648
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [78, 1889445223394158510080000, 384853797199872000, 61744196367241383877773484402971928166400000000, 106378272000, 26313083693369353016721801216000000000, 12804747411456000, 41332550550590712855018365965547563844668625292, 186810624000, 903328163193369889064059435745280000000, 2482968698602907074560000, 1582831605491029680326337651881803776000000000, 11292160911544957796352000000, 111, 62776478743999585836971966786028713643632793654, 35988116825093780496973824000000], 'label': '10749542400000000.cs.960._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044649
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [378095736066048000, 1269047912603090781662640, 17637988913211644444021332377600000000, 295767283552125705830770771230720000000, 27461728753955084149456896000000, 83188123979131126455120824989814034429054169472, 376610217984000, 12, 1596967351909045926590121630911535513601502640, 41346686279370730420350670662517181644801502640, 1502640, 609776689223427721003008000000, 94, 1941149256871928464862640, 354980102400, 87218208000], 'label': '10749542400000000.cs.960._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044650
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [262518244725103920, 1292600836944248832000000, 1175091669949317487920, 711374856559920, 8852650863190120306704384367920, 82651709306140991904344925386841469747200000000, 894653068413212180491358966906880367920, 41332550550590712855018365965547563844668625292, 35682825189020940030836736367920, 93405312000, 616523773774298119104609528053760000000, 81, 21457691069221871927206612167684626841600000000, 367920, 367943, 355938473520], 'label': '10749542400000000.cs.960._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044651
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [53952034933325168640000, 12454041600, 88176584880, 894381714737624309038374023331840000000, 1073572741115654913612646407363310387200000000, 373728, 373799, 373680, 631554428124264425324544373680, 12804747411456000, 1596596244806933111756458426213988537590666850, 17683523987479403909087232000000, 2482968698602907074560000, 295767283552125705830770771230720373680, 262518244725109680, 81605664071207789680824910938641321164800000000], 'label': '10749542400000000.cs.960._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044652
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [267761894400, 19939418763264000, 243290200817664000, 607832233316832054686273608089600000000, 1941149256871928463360000, 936846064197104891461632000000, 83188495676698819361151248590523124940800000000, 81, 26536174850669524215791616000000, 321554105571627671787158136422400000000, 26, 733277703291557280067443194920050642989466959476, 87218208000, 61716668861058931187680852443808766361600000000, 1175091669949317120000], 'label': '10749542400000000.cs.960._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044653
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [378095736066048000, 82114922935583164447538602183159814553600000000, 41332550550590712855018365965547563844669356812, 88177794480, 181062604800, 1583336, 20398254074524233259857749739351048192000000000, 1583280, 609776689223427721003008000000, 1292600836944248833583280, 2482968698602907074560000, 1189622736615882627808810358538241583280, 17988815623552244375224321583280, 1583309, 141228831745583280, 26584437368957224469706744791040000000], 'label': '10749542400000000.cs.960._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044654
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [7, 61744196367241383877773484402971928166401583280, 2507696714614014445103280, 262518244726319280, 1596596244806933111756458426213988537591750450, 40795764162394886717280563479805794713601583280, 12804747413039280, 35682825189020940030836737583280, 1583280, 936846064197104891461633583280, 12972960000, 1583339, 9217802131333451478670355988481583280, 87658876080, 620499492675411150383280, 599157138536674346113573139251200000000], 'label': '10749542400000000.cs.960._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044655
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26313084009146567078873576793634682176, 396154456853043064946270250546940298704307066233, 3, 5760, 1175092381343333417043, 886232917314159176547332875339025788105, 17637989522988386546594140525866726573, 271353697365610353822359271432323783, 19939419282263047, 376629378048004, 11292240766706800223071800967, 526288221334398641403609968226237390, 82128314695347600913145189064149888367366211699, 305291714752891410583037770803, 271363443307059939373437438680547885, 1073572767428766068710806258428879905914732758, 8, 19228043907072016, 27527532495537320308102052115378825332474171, 12972965783, 14136050334133231750507047802592204588899710, 500292550294962473930813914376679143931360777630, 550922143034020323713900756769488556998882691, 51704033477777178261851, 86403, 621068850134979813484123858576, 1060180990569030368836438392301911524001535923, 26313083715147169524712845728510863460, 77607147916906933248003], 'label': '10749542400000000.cs.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044660
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [1046045252571200893158765147115961441185969931, 21777764803944385378223254324, 181581523200, 17637988934989436223989942480499401543, 373684, 1174320, 1596967378493483916616276090739997050632732099, 711729837468728, 78680051655807394966335, 27527515400254832718298301432637314646991931, 1060180981351218469783878282372494882918091611, 816480, 526261673867465740385757248658281540, 1569439845726611529798814923365599078064028731, 1596967351909054768755485512297183690937804160, 41841810309347810906716887090801239040624806412, 20425781606764870497691135177382021716887914253, 62253456439132392803416090760882402067517653161, 355938105600, 816491, 1582831614182570159570220826210224069900874084, 1046045235459463897387427411655447376015622423, 79855162177545380511364, 180623520000, 2248001455555216569600, 21457691069493234749444900652501621151672906096, 816495], 'label': '10749542400000000.cs.960._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044661
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [1046045252571200893158765147115961441185969931, 21777764803944385378223254324, 181581523200, 17637988934989436223989942480499401543, 373684, 1174320, 1596967378493483916616276090739997050632732099, 711729837468728, 78680051655807394966335, 27527515400254832718298301432637314646991931, 1060180981351218469783878282372494882918091611, 816480, 526261673867465740385757248658281540, 1569439845726611529798814923365599078064028731, 1596967351909054768755485512297183690937804160, 41841810309347810906716887090801239040624806412, 20425781606764870497691135177382021716887914253, 355938105600, 816491, 1582831614182570159570220826210224069900874084, 1046045235459463897387427411655447376015622423, 1596596244806933111756458426213988524699031570, 79855162177545380511364, 180623520000, 2248001455555216569600, 21457691069493234749444900652501621151672906096, 816495], 'label': '10749542400000000.cs.960._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044662
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [19160195760, 27527514873993757335439553333450383244851203, 621068850134972678799361583284, 121666023198720000, 1451540, 486957011853312000, 82114922953476061380807578743001841359298114484, 26058175695089889113899125000401886728, 26313084608437731192608474538656053691, 384853797199872000, 1209600, 518918407, 19, 408963, 41841809406274538333394732095512316847110603554, 493338462770326320, 82637573568414516736616082937509517721374213208, 1175091669949836805211, 42365204034434564572701956929717759936592568972, 82637573586307413027038418757136968988947256416, 52879125147719270808976, 42392360111977243334090117266113970595593170088, 1582831632075467049283615001085410571460739780, 41319159364180146945763821521223250298475868166, 17366653542216664557447910021545580812, 17637988913211697323146480096871851543, 8691540479243857271207557610866223295, 526262599421291520986039639876332807], 'label': '10749542400000000.cs.960._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044663
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [121666023198720000, 486957011853312000, 371714552912511360, 590465598079208281695608933572191417600, 384853797199872000, 81605664071207789680824910938641321164800408960, 1209600, 2507696714614014443928960, 25903107681056686896480, 816518, 18598592312776165434690097560960, 816487, 11292160912038296259121968480, 753125035258052118701043950359349871168020331594, 41319158773188277730258038703847358302770361600, 371714373327628800, 26584437368957224470200083253809560960], 'label': '10749542400000000.cs.960._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044664
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [371714552912511360, 41319158773188277730258038703847358302770361600, 25903107681056686896480, 384853797199872000, 1209600, 18598592312776165434690097560960, 590465598079208281695608933572191417600, 2507696714614014443928960, 371714373327628800, 11292160912038296259121968480, 816518, 81605664071207789680824910938641321164800408960, 121666023198720000, 753125035258052118701043950359330308359474687994, 486957011853312000, 26584437368957224470200083253809560960, 816487], 'label': '10749542400000000.cs.960._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044665
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [21777738900836704321537451520, 19562814812217600, 17892896911491160051370824826881451520, 25903107681056686896480, 1189877644614162143416544704784720280960, 384853797199872000, 1209600, 19562808545689020, 384853978782604800, 536786370557827456806323204053369478751659520, 815364726432127031525358990000919154067924762183, 41319158773188277730258038703373582648546489600, 121666023198720000, 699179543619843687851520, 486957011853312000, 36303894039155932272444642489600, 1451524], 'label': '10749542400000000.cs.960._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044666
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 1596967352180426454130110694678055268065469376, 21777741148851341247353881683, 79855161842432028810244, 376610217984023, 16, 26313102008447847300460642869377804183, 51136, 2248021394986951635132, 1569441044550686328184246863531594432475379872, 754198235414840918489052816873170167799340110059, 925553956164698262742179920655, 6758061133875120, 3, 1046045234933202833296781278769739880308869780, 5772, 40823291677523797315063232857743724140446717326, 1073572750062130221310319316070759531255592887, 500306314334076901729470773434905947563586426200, 26313083693369430623876141406535869380, 936846090100218995815771750328, 8946467054340400498072834037293424009, 27527506708714679737258984744249702617660248, 1060180990297667840599643825550129179004197776, 52879137952466681936660, 1569439872039712602206507672159816033330973360, 14135746418016562041026192290643833291680007, 12973040640], 'label': '10749542400000000.cs.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: 124044667
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26313084009146567078873576793634682176, 3, 5760, 1175092381343333417043, 886232917314159176547332875339025788105, 17637989522988386546594140525866726573, 271353697365610353822359271432323783, 19939419282263047, 376629378048004, 11292240766706800223071800967, 526288221334398641403609968226237390, 82128314695347600913145189064149888367366211699, 305291714752891410583037770803, 271363443307059939373437438680547885, 83188123979131126455120824989814034429053075792, 1073572767428766068710806258428879905914732758, 8, 19228043907072016, 27527532495537320308102052115378825332474171, 12972965783, 14136050334133231750507047802592204588899710, 500292550294962473930813914376679143931360777630, 550922143034020323713900756769488556998882691, 51704033477777178261851, 86403, 621068850134979813484123858576, 1060180990569030368836438392301911524001535923, 26313083715147169524712845728510863460, 77607147916906933248003], 'label': '10749542400000000.cs.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044668
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [21777738900836704321537451520, 19562814812217600, 17892896911491160051370824826881451520, 25903107681056686896480, 1189877644614162143416544704784720280960, 384853797199872000, 1209600, 815364726432127031525358990000553863079268995863, 19562808545689020, 384853978782604800, 536786370557827456806323204053369478751659520, 41319158773188277730258038703373582648546489600, 121666023198720000, 699179543619843687851520, 486957011853312000, 36303894039155932272444642489600, 1451524], 'label': '10749542400000000.cs.960._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044669
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [271354296656748563975089036985136483, 21777764803944385391635576336, 936846066445106347023554592015, 1569439872039677855420774125510959506293163575, 8946448477524560998417253163172213706, 2248001455568189136483, 1174320, 121666023198720000, 14135746689370237628947101288046814964579158, 51704033477770472965220, 486957011853312000, 17366635248915936150582802154128811576, 384853797199872000, 21994477465837884225754974776452003292802972797, 816480, 1046046433757295598721883907973662243977394659, 19161647295, 1209616, 1582831623129019214608100103696748368453323631, 1060180999244115403055206149061809089715763299, 315777216310133668236647832979, 520369940, 271353697365690208964262285656034576, 958819680, 1451524, 1596596244806933111756458425841939487803741970, 523394610793409317572846335936938293614954194], 'label': '10749542400000000.cs.960._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044670
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [271354296656748563975089036985136483, 21777764803944385391635576336, 936846066445106347023554592015, 1569439872039677855420774125510959506293163575, 8946448477524560998417253163172213706, 2248001455568189136483, 1174320, 121666023198720000, 14135746689370237628947101288046814964579158, 51704033477770472965220, 486957011853312000, 17366635248915936150582802154128811576, 384853797199872000, 21994477465837884225754974776452003292802972797, 816480, 1046046433757295598721883907973662243977394659, 19161647295, 62253456439132392803416090760754020009828140841, 1209616, 1582831623129019214608100103696748368453323631, 1060180999244115403055206149061809089715763299, 315777216310133668236647832979, 520369940, 271353697365690208964262285656034576, 958819680, 1451524, 523394610793409317572846335936938293614954194], 'label': '10749542400000000.cs.960._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044736
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1000, 'diagramx': None, 'generators': [19939418763264029, 41346686279370748713651347365348811735040000111, 61730805797625945723694651291983292661760000059, 61744196367241383877776019075704008843427840019, 67, 27527506182452690092631959163161804800000000, 41319158773188277730258038703354019840000000000, 61744196367241383877773484402971928254576211248, 82128686992598757130718396317094388508521102755, 111, 61730804607476947433944636422838498099200363630, 303924366338138527382502914481962117069, 41346686279370757250524996493336905777152000000, 82142450441765617137631234142322976358400000000, 14135746418016246263783979273021938417664045, 82114922935583191593490142076111751348224000011, 61744196367241383877773485578063598115717120045, 41332550532952714174086886683487450175480812911, 61744196367241383877773484402971928166400771231, 61730804920339512548106243791660714557440000099, 30], 'label': '10749542400000000.cs.1000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044671
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [41841810604843740467475646009787374550024574754, 699179543619843686808979, 13181357631023287, 1451520, 6423315217769543, 1174320, 1569439846252854932145098601618116981411125687, 83188495685916657175310509589882282131662067208, 526262294938178344570410155017248000, 42392360111977243334090039761019890577123671048, 2508769624776243972555607, 21981086574923239667455506321954018829472248327, 2482968698602907074560000, 27527506182453605162898404688220873360811523, 620499492675411148800000, 2508769624399627048956740, 14135746418016573335047325034027133636655295, 599412046850731749059490783336564118320, 925556412055184709915001259535, 1888372313608571773487283, 1073572741387026904278933464036528160214582332, 1862469205927495926934324, 1060180981622599291325771422179161306921091123, 1862469205927496444810164, 2561648749547339612160000, 11294722560314444573888939535], 'label': '10749542400000000.cs.960._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044672
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [520128000, 36303894092035037857355367609600, 2561648871924737668523520, 894907976411492369375144398143161529600, 14135746418016246264483158573351581286400000, 620499492675411148800000, 274469126400, 2561648749547339612569027, 17637988913214153213645731997942576480, 2561648749547339612160000, 62253455231616758644489038116696349051127211520, 17683524660755839847874232728960, 2482968698602907074560000, 1862469205927495925760004, 1451520, 2561648762728697242809600, 774596490383746867096310348654201628451122007585], 'label': '10749542400000000.cs.960._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044673
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [520128000, 36303894092035037857355367609600, 2561648871924737668523520, 894907976411492369375144398143161529600, 14135746418016246264483158573351581286400000, 620499492675411148800000, 274469126400, 2561648749547339612569027, 17637988913214153213645731997942576480, 2561648749547339612160000, 62253455231616758644489038116696349051127211520, 17683524660755839847874232728960, 2482968698602907074560000, 1862469205927495925760004, 1451520, 774596490383746867096310348654201628451120918225, 2561648762728697242809600], 'label': '10749542400000000.cs.960._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044674
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [2561648749547339612569015, 36303894092035037857355367609600, 1451520, 2482968698602907076011565, 21981085680015262940184087391232851968001451520, 915068998572704125927097529600, 2482968698602907074560000, 620499492675411148800000, 52879497196769059632480, 321554105571628292286650811833550009600, 2561648749547520675581280, 17892896911491780550863500238030009600, 52879368437920089515520, 815364726432127031525358991073828939673821959623, 523394610793391012978148499984163913401771520, 368393356800, 2561648749547339612160000], 'label': '10749542400000000.cs.960._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044675
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [2561648749547339612569015, 36303894092035037857355367609600, 1451520, 2482968698602907076011565, 21981085680015262940184087391232851968001451520, 915068998572704125927097529600, 2482968698602907074560000, 620499492675411148800000, 52879497196769059632480, 321554105571628292286650811833550009600, 2561648749547520675581280, 815364726432127031525358991073828939673823037463, 17892896911491780550863500238030009600, 52879368437920089515520, 523394610793391012978148499984163913401771520, 368393356800, 2561648749547339612160000], 'label': '10749542400000000.cs.960._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044676
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [550923020049117213239516742838435179936617635, 305293498542046393633013891776, 305294144842465242367648560480, 408960, 2561648749547340570930020, 536786370829182047465081601685044636616770488, 673276455501595546008979, 62253456439132392803416064959956605535312695801, 1862469205927495926934324, 620499492675411148800000, 11292781411037633207502009616, 1174320, 699179543619843687851531, 305292309349276405104711971876, 2561648749547339612160000, 1569439845997956080516000026222341102072806434, 27527506708715289516405273762892462609967299, 2482968698602907074560000, 1060180998717853718700352829682374689757285798, 52879145087150488915211, 61221545752319375125634392130179434706924396800, 26313084630216037713338596326205692736, 271354002659187575938925381848627219, 17637989240283581066461231540172832007, 925556386254258536572355376483], 'label': '10749542400000000.cs.960._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044677
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [550923020049117213239516742838435179936617635, 305293498542046393633013891776, 305294144842465242367648560480, 408960, 2561648749547340570930020, 536786370829182047465081601685044636616770488, 673276455501595546008979, 1862469205927495926934324, 620499492675411148800000, 11292781411037633207502009616, 1174320, 699179543619843687851531, 305292309349276405104711971876, 2561648749547339612160000, 1569439845997956080516000026222341102072806434, 27527506708715289516405273762892462609967299, 2482968698602907074560000, 1060180998717853718700352829682374689757285798, 1596596244806933111758372599453393803470426850, 52879145087150488915211, 61221545752319375125634392130179434706924396800, 26313084630216037713338596326205692736, 271354002659187575938925381848627219, 17637989240283581066461231540172832007, 925556386254258536572355376483], 'label': '10749542400000000.cs.960._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044678
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [52879137952466681861763, 1060182171228863083945994722521302342965401611, 83188496866576463997091209587571336069703874656, 21777791779974656806938876256, 45367, 599683400210541733173926803339106186179, 186280546854737984211373132561598006345660304702, 14136346101416456805517152937307014079586483, 6706028168, 20398255272822064655898088368870089197962588263, 295241058170861439086699600090824761604, 19562827266310339, 26313083715147117820666563211666497379, 82128314704565403643770994921748336127498784571, 7225062480, 271353675587951308133981260096409524, 61207410891065271158591547844806166512402580339, 1189877644635939910468105691921915887456, 1175110898006636282163, 518928500, 83188123979131126455120824989814034429053075792, 10095, 271389347927484732654622879730778762, 8, 1198569185387405450047737120232121184011, 26313110534836460258714340714731702438, 61730804616423431583808189128996745378597031793, 4, 376628938968976], 'label': '10749542400000000.cs.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044679
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [267761894400, 11, 1266799911147535564800000, 36303894039155912709636096000000, 107, 732754308698385432301660549933110409990510517170, 12804747411456000, 915068325296268187140096000000, 121666023198720000, 2482968698602907074560000, 903328163193369889064059435745280000000, 62790241602174586101293498851172076748800000000, 321554105571627671787158136422400000000, 27527506182452690092631959163161804800000000, 13412044800], 'label': '10749542400000000.cs.960._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044680
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [78, 1889445223394158510080000, 62776478743999585836971966786028713643633157254, 384853797199872000, 61744196367241383877773484402971928166400000000, 41332550550590712855018365965547563844668263132, 106378272000, 26313083693369353016721801216000000000, 12804747411456000, 186810624000, 903328163193369889064059435745280000000, 2482968698602907074560000, 1582831605491029680326337651881803776000000000, 11292160911544957796352000000, 111, 35988116825093780496973824000000], 'label': '10749542400000000.cs.960._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044681
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [181063779120, 315777215237223882879352188732, 42392360111977243334090117265979165041624249688, 27528401090447394886944837056760870262319326, 181581523200, 373684, 271354285364639356482837323214021120, 26058176316160574741586489333340396863, 8946448761037890550060245616700335943, 26313084303146043415241568960125000884, 21777740075934797748931842484, 1209600, 536786370829208583639234266763733817906274558, 19562990127619691, 41869338093133278552069957810441834766788451744, 1569439854673042607312015493208165063514474179, 1209619, 936846117076242843928832906179, 355938105600, 14135764310913179532761611301721441341340731, 180623520000, 1175098093245814319288, 1046045261517639897770737460082046124145226080, 376791801090500, 523395800416127934154300753962113264565811211, 816495], 'label': '10749542400000000.cs.960._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044682
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26536174850669524215972679421280, 268721349224, 371338030351820160, 17892896911491160051370825008462974720, 1060180981351218469783798427229880588721107200, 1209600, 1266799911147716627813760, 181581523200, 355938105600, 499762027546397280, 62253455231616758644487175647490421823920714080, 894653068413212180491358966907838003200, 180623520000, 959212867, 1862469205927764206981760, 35988116825093780497155406339680, 753125035258052118701043950359222158178846840314], 'label': '10749542400000000.cs.960._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044683
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [6758061652868408, 526261979159074837714188564234684016, 3, 11292240766706800241273936655, 621068877110997280140002160503, 1569440141222523134813140557774582850786184880, 2248001832165433344016, 1060181875732933512699822218629785085481864900, 17366635564693847144513274414786018488, 523394906289348329466376360101556089028608015, 2248020683618801455440, 13412176571, 1938901262174453541968656, 621069470634484917293084092096, 733277703291557280067443194920050642989468088436, 52879125147731724447360, 40823292259042946938523479710077402413484355205, 25903107681062953108343, 14135746944278835199498583634187254261470643, 526262599421367953054756561104521608, 19160144640, 519044400, 83188123979131126455120824989814034429054522992, 711374856192011, 14136067700769057371935512822083169371870647, 14135746689378785797188303317855924377923172], 'label': '10749542400000000.cs.960._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044687
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [6758061652868408, 526261979159074837714188564234684016, 3, 11292240766706800241273936655, 621068877110997280140002160503, 1569440141222523134813140557774582850786184880, 2248001832165433344016, 1060181875732933512699822218629785085481864900, 17366635564693847144513274414786018488, 523394906289348329466376360101556089028608015, 2248020683618801455440, 13412176571, 1938901262174453541968656, 774596490383746867096310967978602633912953727185, 621069470634484917293084092096, 52879125147731724447360, 40823292259042946938523479710077402413484355205, 25903107681062953108343, 14135746944278835199498583634187254261470643, 526262599421367953054756561104521608, 19160144640, 519044400, 83188123979131126455120824989814034429054522992, 711374856192011, 14136067700769057371935512822083169371870647, 14135746689378785797188303317855924377923172], 'label': '10749542400000000.cs.960._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044688
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [6758061652868408, 526261979159074837714188564234684016, 3, 11292240766706800241273936655, 621068877110997280140002160503, 1569440141222523134813140557774582850786184880, 2248001832165433344016, 1060181875732933512699822218629785085481864900, 17366635564693847144513274414786018488, 523394906289348329466376360101556089028608015, 2248020683618801455440, 13412176571, 1938901262174453541968656, 621069470634484917293084092096, 1596596244806933111756458426213988537592193250, 52879125147731724447360, 40823292259042946938523479710077402413484355205, 25903107681062953108343, 14135746944278835199498583634187254261470643, 526262599421367953054756561104521608, 19160144640, 519044400, 83188123979131126455120824989814034429054522992, 711374856192011, 14136067700769057371935512822083169371870647, 14135746689378785797188303317855924377923172], 'label': '10749542400000000.cs.960._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044689
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [53952054872751156854888, 3, 26313083704661515103730478012415584583, 1046045234933202539297280214622645344935654491, 518918408, 20948432230904673487138504960760297952414306565, 526270820518994460040949989691530109, 1175111609368080470411, 1046045252571191452508899930633678542036639847, 19160074096, 1060180981351218469783825403740685458326563775, 1582831623129036298841622649639249782744317354, 11292213790676863595477334968, 609776691471448739380180810819, 15, 711388268287923, 51123, 5780, 550922116975844628624038619758552945406988131, 28151115559915103119444, 6758080812847448, 27527506182453017162058637008615587346648971, 1046045252299837472438483023520334019146765371, 27527532495537320308049173124660211716761060, 20425782197485386342898766091433981136152303268, 53952176496922508931852, 291478832792894471291423291737679321160871643513, 146544592001650287105350386088448214483839341430, 1073572767428738922761772887331083841819346576], 'label': '10749542400000000.cs.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044690
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [371337674933317680, 51704033477769953280000, 621068850134972678799360000000, 8852650863190120306704384000000, 121666023198761040, 26313083693369353016721801216000000000, 1941149256871928463360000, 83188495676698819361151248590523124940800000000, 903328163193369889064059435745280000000, 48, 83188123979131126455120824989814034429053394032, 354980102400, 23, 87218208000, 61716668861058931187680852443808766361600000000, 41332550550590712855018365965547563844669392092], 'label': '10749542400000000.cs.960._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044691
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 621068850134972678799360000000, 8852650863190120306704384000000, 83188123979131126455120824989814034342872704592, 41040, 26313083693369353016721801216000000000, 121666110416928000, 1941149256871928463360000, 371338029912326400, 83188495676698819361151248590523124940800000000, 903328163193369889064059435745280000000, 48, 1093680, 23, 61716668861058931187680852443808766361600000000, 41332550550590712855018365965547563669355168652], 'label': '10749542400000000.cs.960._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044692
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [35682825189020940407460366154878, 1175098093246331654400, 19228044426076800, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 268280812800, 6706067760, 42378596080493608880539451893576905989292351475, 27527506182488372917873859228716977291362718, 958054320, 327071882670391784741348332819, 17638006618515258021503112794737810597, 1269048163027962949632000, 9217837814158694451665259576372976638, 17638024596036834640552794929185637838, 105735064060369128879979664489786462880539877065, 131760, 321554114424281042674480014172759936199, 5760, 271353675587925405020588281331850240, 518928480, 51704033854399331369040, 81591529514667454352617363535309431987883436026, 11292162086656190572935500939, 376629897092400, 26841466486742377486689088426136, 621071357831687292813803520048], 'label': '10749542400000000.cs.960._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044693
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [27527506182488372917873859228716977291362718, 5760, 1175098093246331654400, 35682825189020940407460366154878, 19228044426076800, 271353675587925405020588281331850240, 131760, 6706067760, 26841466486742377486689088426136, 42378596080493608880539451893576905989292351475, 327071882670391784741348332819, 82665473667327600097571167213676103327006601719, 9217837814158694451665259576372976638, 518928480, 125073509155823614317209499984722535816565914891, 621071357831687292813803520048, 17638024596036834640552794929185637838, 17638006618515258021503112794737810597, 958054320, 51704033854399331369040, 11292162086656190572935500939, 321554114424281042674480014172759936199, 1269048163027962949632000, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 376629897092400, 268280812800], 'label': '10749542400000000.cs.960._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044694
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [35682825189020940407460366154878, 1175098093246331654400, 19228044426076800, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 268280812800, 6706067760, 42378596080493608880539451893576905989292351475, 27527506182488372917873859228716977291362718, 958054320, 327071882670391784741348332819, 17638006618515258021503112794737810597, 1269048163027962949632000, 9217837814158694451665259576372976638, 17638024596036834640552794929185637838, 105735064060369128879979664489786462880539877065, 131760, 321554114424281042674480014172759936199, 5760, 271353675587925405020588281331850240, 518928480, 125073509155823614317209499984722535816565914891, 51704033854399331369040, 11292162086656190572935500939, 376629897092400, 26841466486742377486689088426136, 621071357831687292813803520048], 'label': '10749542400000000.cs.960._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044695
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [35682825189020940407460366154878, 1175098093246331654400, 19228044426076800, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 268280812800, 6706067760, 105226176607538255616101141381969630065381119971, 42378596080493608880539451893576905989292351475, 27527506182488372917873859228716977291362718, 958054320, 327071882670391784741348332819, 17638006618515258021503112794737810597, 1269048163027962949632000, 9217837814158694451665259576372976638, 17638024596036834640552794929185637838, 105735064060369128879979664489786462880539877065, 131760, 321554114424281042674480014172759936199, 5760, 271353675587925405020588281331850240, 518928480, 51704033854399331369040, 11292162086656190572935500939, 376629897092400, 26841466486742377486689088426136, 621071357831687292813803520048], 'label': '10749542400000000.cs.960._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044696
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [35682825189020940407460366154878, 1175098093246331654400, 19228044426076800, 186294682601419149903247178840326677770776869807, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 268280812800, 6706067760, 105226176607538255616101141381969630065381119971, 42378596080493608880539451893576905989292351475, 27527506182488372917873859228716977291362718, 958054320, 327071882670391784741348332819, 17638006618515258021503112794737810597, 1269048163027962949632000, 9217837814158694451665259576372976638, 17638024596036834640552794929185637838, 131760, 321554114424281042674480014172759936199, 5760, 271353675587925405020588281331850240, 518928480, 51704033854399331369040, 11292162086656190572935500939, 376629897092400, 26841466486742377486689088426136, 621071357831687292813803520048], 'label': '10749542400000000.cs.960._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044697
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [35682825189020940407460366154878, 1175098093246331654400, 19228044426076800, 1582831631804140215162230290356287662749514856, 1060181007664302163153203148005098738128598880, 268280812800, 6706067760, 105226176607538255616101141381969630065381119971, 42378596080493608880539451893576905989292351475, 27527506182488372917873859228716977291362718, 958054320, 327071882670391784741348332819, 17638006618515258021503112794737810597, 1269048163027962949632000, 9217837814158694451665259576372976638, 17638024596036834640552794929185637838, 131760, 321554114424281042674480014172759936199, 5760, 271353675587925405020588281331850240, 518928480, 51704033854399331369040, 81591529514667454352617363535309431987883436026, 11292162086656190572935500939, 376629897092400, 26841466486742377486689088426136, 621071357831687292813803520048], 'label': '10749542400000000.cs.960._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044698
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 126000, 271353675587871453004883348783730099, 291479203596606756561659279236221148970075166651, 209350517524447907884734745369761246175765372214, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044699
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 126000, 230808207986363816989363564059204553522460635333, 271353675587871453004883348783730099, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 290969944732502708640360450891989111936275277433, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044700
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [536786370829217436288260788860004700313344009, 524959107744145507444451479779389129160109917539, 376610736947779, 8946457918173158342462787200716800000, 305291690024875399475229721700, 27527506182471310462763490821000044469950881, 20, 41346686279642120084055447064790527570440295042, 51704053040578498691760, 689245546164274111756432165794259183017299543150, 41346687191390469460014899653690749968135034983, 2248014636913363850172, 925553983140721776091999836255, 41319158773459631427624347061890135881938450505, 19562809503414967, 41332550533224103522014369168139906031736210023, 958089603, 80655, 11292239591609418351157374020, 526262294936239443321751737043728492, 14135746689370553406083556291905390862399460, 550922117502141680831587350993465929758693762, 14135746418017171817740143734752559634733936, 315777292742183157113971125659, 4, 1060180981622599585322713085591345080226305932, 61207409996954927791371209194576886855320220249, 10080, 78680050944432537645360], 'label': '10749542400000000.cs.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044701
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 126000, 271353675587871453004883348783730099, 209350517524447907884734745369761246175765372214, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 290969944732502708640360450891989111936275277433, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044702
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 126000, 230808207986363816989363564059204553522460635333, 271353675587871453004883348783730099, 291479203596606756561659279236221148970075166651, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044703
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 21457691659687478859068238898124903050834080723, 126000, 271353675587871453004883348783730099, 209350517524447907884734745369761246175765372214, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044704
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26976036694726171186560, 82128314695347600891367450163293244620800121680, 1046046146681561672489750952088842339718992588, 6423296495657040, 21457691659687478859068238898124903050834080723, 126000, 271353675587871453004883348783730099, 291479203596606756561659279236221148970075166651, 82142450441765617148923395053867934155710003200, 61730804607476947433944636422838498099200086400, 376616924051760, 271353675587871453369462607603156659, 12973040640, 13181370083487360, 27527506182452690092631959163161811067063600, 621068850134972678799360000000, 12454051680, 305291637247932136092672138240, 17366635237623772991055617201448712339, 1046045234933202223520042599322466558197904000, 519044400, 19939600345593600, 41319158773188278351326888838326698652333086000, 536786396616003151897480190414183492594405143, 10080, 536786388450751503765953928709119315989381151, 61744196367241384183065199155883278154788990000], 'label': '10749542400000000.cs.960._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044705
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [523395809362602936560229583429023861637692768, 52879131906129117752481, 1175091670317709267215, 17366635858692701806060723758026956894, 20, 19562989169163612, 363600, 280216309683, 915068402903416104121793788100, 774596490383746867096310967978602633744344347505, 271354601141854593700673073728400487, 180623525772, 894907994422085058551911539970069237680, 93924230400, 21777738900836704601751941815, 27528713698086544535846497318223386470728965, 61194019435488305060061241366086515659554826158, 376958931158909, 274467916800, 631554429299375658362622336077, 27527532766890080827597577708443451201501322, 11292189062667275859807116271, 550922143560281987095735628744397985904396163, 27527506453806986749379450247693367969363200, 10080, 14136059551935057791002876778071069360879998, 19562996314280913], 'label': '10749542400000000.cs.960._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044706
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [523395809362602936560229583429023861637692768, 1175091670317709267215, 52879131906129117752481, 17366635858692701806060723758026956894, 20, 19562989169163612, 363600, 280216309683, 915068402903416104121793788100, 271354601141854593700673073728400487, 794470976968723857694560245996678114066552006381, 180623525772, 894907994422085058551911539970069237680, 93924230400, 21777738900836704601751941815, 27528713698086544535846497318223386470728965, 61194019435488305060061241366086515659554826158, 376958931158909, 274467916800, 631554429299375658362622336077, 27527532766890080827597577708443451201501322, 11292189062667275859807116271, 550922143560281987095735628744397985904396163, 42392360111977243334090117265979165129799619208, 27527506453806986749379450247693367969363200, 10080, 14136059551935057791002876778071069360879998, 19562996314280913], 'label': '10749542400000000.cs.960._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044707
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [523395809362602936560229583429023861637692768, 1175091670317709267215, 52879131906129117752481, 17366635858692701806060723758026956894, 20, 19562989169163612, 363600, 280216309683, 915068402903416104121793788100, 271354601141854593700673073728400487, 180623525772, 894907994422085058551911539970069237680, 93924230400, 21777738900836704601751941815, 27528713698086544535846497318223386470728965, 61194019435488305060061241366086515659554826158, 1596596244806933111756458426213988449933374050, 376958931158909, 274467916800, 631554429299375658362622336077, 27527532766890080827597577708443451201501322, 11292189062667275859807116271, 550922143560281987095735628744397985904396163, 42392360111977243334090117265979165129799619208, 27527506453806986749379450247693367969363200, 10080, 14136059551935057791002876778071069360879998, 19562996314280913], 'label': '10749542400000000.cs.960._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044711
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376610736947779, 2248014636913363850172, 78680050944432537645360, 61207409996954927791371209194576886855320220249, 41346687191390469460014899653690749968135034983, 4, 41332550533224103522014369168139906031736210023, 925553983140721776091999836255, 1060180981622599585322713085591345080226305932, 14135746418017171817740143734752559634733936, 8946457918173158342462787200716800000, 14135746689370553406083556291905390862399460, 83188123979131126455120824989814034429053075792, 305291690024875399475229721700, 51704053040578498691760, 536786370829217436288260788860004700313344009, 958089603, 550922117502141680831587350993465929758693762, 526262294936239443321751737043728492, 80655, 41319158773459631427624347061890135881938450505, 19562809503414967, 27527506182471310462763490821000044469950881, 10080, 41346686279642120084055447064790527570440295042, 11292239591609418351157374020, 315777292742183157113971125659, 20, 524959107744145507444451479779389129160109917539], 'label': '10749542400000000.cs.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044712
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [280215946191, 62253456439132392803416090760882402422936765481, 620499492675411148800000, 27527506182452690092631959163162173192152960, 2507696714614014443520000, 303916116658416027343136804044800000000, 36303894039155912709984809174880, 1596596244806933111756458426213988449933731890, 280215941763, 256095042153360480, 10080, 93924230400, 894907976411491696098708459356160000000, 41841809397328088940800577928005943296000010080, 21777738900836704321536000000, 774596490383746867096310967978602633744344347505, 274467916800, 376958931154560], 'label': '10749542400000000.cs.960._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044713
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [271353675587871453369086003650627684, 122377404322213204, 363600, 27527515400255137203323403201835597089906003, 14136927349221246847519767932765005116274567, 12972960000, 62762714695675560157917476639054907150234915227, 256806323085312000, 1569439854418151399267221619831492862485116083, 122377411466966891, 26976401609085886371143, 26584437674248913421692298066161674099, 523394628686288534245946071006038657587932157, 774596490383746867096310967978589117790685268465, 925553904461029699357369190419, 19939418763264000, 1175469765698795212800, 128424084851830320, 17366635847400515094075837945634165696, 17366636174469888892681277860811177557, 10080, 9462427552413804834030477679923, 21777740076306470026598160496, 1596967360600587299125209350351734954247942512, 1582831623383926591817550582884296162228342343], 'label': '10749542400000000.cs.960._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044714
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [42392360111977243334090117265979165060344029368, 271353675587871453369086003650627684, 122377404322213204, 363600, 27527515400255137203323403201835597089906003, 14136927349221246847519767932765005116274567, 12972960000, 62762714695675560157917476639054907150234915227, 256806323085312000, 1569439854418151399267221619831492862485116083, 122377411466966891, 26976401609085886371143, 26584437674248913421692298066161674099, 523394628686288534245946071006038657587932157, 925553904461029699357369190419, 19939418763264000, 128424084851830320, 1175469765698795212800, 17366635847400515094075837945634165696, 17366636174469888892681277860811177557, 10080, 794470976968723857694560245996684871771747719021, 21777740076306470026598160496, 1596967360600587299125209350351734954247942512, 9462427552413804834030477679923, 1582831623383926591817550582884296162228342343], 'label': '10749542400000000.cs.960._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044715
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [42392360111977243334090117265979165060344029368, 271353675587871453369086003650627684, 122377404322213204, 363600, 27527515400255137203323403201835597089906003, 14136927349221246847519767932765005116274567, 12972960000, 62762714695675560157917476639054907150234915227, 256806323085312000, 122377411466966891, 1569439854418151399267221619831492862485116083, 26976401609085886371143, 26584437674248913421692298066161674099, 523394628686288534245946071006038657587932157, 925553904461029699357369190419, 19939418763264000, 128424084851830320, 1175469765698795212800, 17366635847400515094075837945634165696, 17366636174469888892681277860811177557, 1596596244806933111756458426213988537590666850, 10080, 9462427552413804834030477679923, 21777740076306470026598160496, 1596967360600587299125209350351734954247942512, 1582831623383926591817550582884296162228342343], 'label': '10749542400000000.cs.960._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044716
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 733263939824752422294667076097185488494889392655, 622747743844463677440000, 590465598079208281695257158705803269760, 1190148998289750014869144794562560005760, 20425781580706685949950381698771016319885317760, 19939418763264000, 19939418763269786, 27461728753955340955779981322080, 1596596244806933111756458426213988537590666850, 61730804607476947433944636423095304422285317760, 486580420356317280, 10080, 256806503708832000, 256806323085312000, 11292160911801764119437312000, 20], 'label': '10749542400000000.cs.960._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044717
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 1596596244806933111756458426213988537591024690, 733263939824752422294667076097185488494889392655, 622747743844463677440000, 590465598079208281695257158705803269760, 1190148998289750014869144794562560005760, 20425781580706685949950381698771016319885317760, 19939418763264000, 19939418763269786, 27461728753955340955779981322080, 61730804607476947433944636423095304422285317760, 486580420356317280, 10080, 256806503708832000, 256806323085312000, 11292160911801764119437312000, 20], 'label': '10749542400000000.cs.960._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044718
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 1596596244806933111756458426213988537591024690, 622747743844463677440000, 590465598079208281695257158705803269760, 1190148998289750014869144794562560005760, 20425781580706685949950381698771016319885317760, 19939418763264000, 733263939824752422294667076097185488494889756255, 19939418763269786, 27461728753955340955779981322080, 61730804607476947433944636423095304422285317760, 486580420356317280, 10080, 256806503708832000, 256806323085312000, 11292160911801764119437312000, 20], 'label': '10749542400000000.cs.960._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044719
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1583340, 631554428124264425324544408960, 17999301201541536121749504408960, 1209600, 766826, 193077935280, 83188123979131126455120824989814034429053030432, 1174320, 1889445223394158510488960, 2482968698602907074691760, 61716668861058931187680852443808766361600373680, 1073572741115654913612646407363310387200373680, 520092720, 26584437368957224469706744791040766800, 13181357631023280, 599683400210541733173907575275521174320, 122000787838379520, 1209612], 'label': '10749542400000000.cs.960._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044720
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1209600, 408989, 193077935280, 1174320, 1889445223394158510488960, 373736, 2482968698602907074691760, 83188123979131125867121874667223017747581846912, 61716668861058931187680852443808766361600373680, 1073572741115654913612646407363310387200373680, 520092720, 26584437368957224469706744791040766800, 599683400210541733173907575275521174320, 13181357631023280, 26851952064731656428453889583280, 122000787838379520, 26841466486742364681928704766800, 35694117349932484988633088408960], 'label': '10749542400000000.cs.960._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044721
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 622747743844463677440000, 590465598079208281695257158705803269760, 1190148998289750014869144794562560005760, 20425781580706685949950381698771016319885317760, 19939418763264000, 733263939824752422294667076097185488494889756255, 19939418763269786, 27461728753955340955779981322080, 1596596244806933111756458426213988537590666850, 61730804607476947433944636423095304422285317760, 486580420356317280, 10080, 256806503708832000, 256806323085312000, 11292160911801764119437312000, 20], 'label': '10749542400000000.cs.960._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044722
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [11292213790676863595477334968, 1046045252571191452508899930633678542036639847, 20425782197485386342898766091433981136152303268, 53952054872751156854888, 146544592001650287105350386088448214483839341430, 609776691471448739380180810819, 1073572767428738922761772887331083841819346576, 550922116975844628624038619758552945406988131, 20948432230904673487138504960760297952414306565, 526270820518994460040949989691530109, 1046045234933202539297280214622645344935654491, 1175111609368080470411, 27527532495537320308049173124660211716761060, 814855467290156864936443724550198472434191730431, 518918408, 28151115559915103119444, 26313083704661515103730478012415584583, 3, 1046045252299837472438483023520334019146765371, 53952176496922508931852, 51123, 1060180981351218469783825403740685458326563775, 5780, 6758080812847448, 15, 711388268287923, 27527506182453017162058637008615587346648971, 1582831623129036298841622649639249782744317354, 19160074096], 'label': '10749542400000000.cs.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044723
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [111, 6758428568099871, 17637988913211671420052315168718905703, 62267592185550426428718138090910781040209206331, 1582831631804113395473482448584685432133833619, 1174320, 1060180998717854644253689567418898756444754560, 41332550550590712855018365965547563844669764387, 30, 1175111232764129337699, 523394619739839774014745274109748657688896048, 903599517490026688259401507252997194147, 1046045234933211381463160012073108970946304048, 29, 14135755364465617077690476081759494664879383, 19562808545411871, 12974411631, 609776742102552868735690576590, 536786387924462999721758170929044373655189725, 526261685159573875000591186436725710, 77607154675217628115299, 536786379504276533623312765472357591751020227, 6423297015744000, 21777741148851676280193714103, 53952041691661289708205, 376629378814800, 1209600], 'label': '10749542400000000.cs.960._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044724
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1596596244806933111756458426213988537591750405, 111, 6758428568099871, 17637988913211671420052315168718905703, 62267592185550426428718138090910781040209206331, 1582831631804113395473482448584685432133833619, 1174320, 1060180998717854644253689567418898756444754560, 30, 1175111232764129337699, 523394619739839774014745274109748657688896048, 903599517490026688259401507252997194147, 1046045234933211381463160012073108970946304048, 29, 14135755364465617077690476081759494664879383, 19562808545411871, 12974411631, 609776742102552868735690576590, 536786387924462999721758170929044373655189725, 526261685159573875000591186436725710, 77607154675217628115299, 536786379504276533623312765472357591751020227, 6423297015744000, 21777741148851676280193714103, 53952041691661289708205, 376629378814800, 1209600], 'label': '10749542400000000.cs.960._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044725
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1582831605491047679627593145945862548804350800, 61221546351460094803883193617804649283482844095, 41332550550590703697075866702586791003197114892, 1174320, 1073572741641943733431625065048451971459345980, 8852650863190133488062013571808, 523395496500011286223229827701455233617257602, 711374857643535, 17637988913211644444399804736858575313, 27145951539892951936795144092723, 26313092546020294886893428975593999296, 1569439872039685782517784558884716268807375932, 8852650863190133822845811712111, 27145951539892951936794624000000, 1060181007935664691391887262635559051581676231, 7134672311262728, 52879125524330447203791, 27145951539892951936795144092739, 27145951539892951936794625451523, 958376931, 18293300703678862612888505464436, 315777214062132212662272816480, 18293300678950833085646414179700, 27527506182479226267508532288773739062176099, 18293300676702831630090240000000, 536786370829198815920122212783262058484451692, 408960, 18293300676702831630090241451528], 'label': '10749542400000000.cs.960._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044726
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [1582831605491047679627593145945862548804350800, 61221546351460094803883193617804649283482844095, 1174320, 1073572741641943733431625065048451971459345980, 8852650863190133488062013571808, 523395496500011286223229827701455233617257602, 711374857643535, 17637988913211644444399804736858575313, 27145951539892951936795144092723, 26313092546020294886893428975593999296, 1569439872039685782517784558884716268807375932, 8852650863190133822845811712111, 27145951539892951936794624000000, 1060181007935664691391887262635559051581676231, 7134672311262728, 52879125524330447203791, 27145951539892951936795144092739, 27145951539892951936794625451523, 958376931, 18293300703678862612888505464436, 315777214062132212662272816480, 18293300678950833085646414179700, 1596596244806915122940834873969613313272157970, 27527506182479226267508532288773739062176099, 18293300676702831630090240000000, 536786370829198815920122212783262058484451692, 408960, 18293300676702831630090241451528], 'label': '10749542400000000.cs.960._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044727
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26058202852333538213869203371108418495, 1242071895136428196203615, 367927, 26313084324925023213131411249412317369, 363600, 17637989850059001241963168088582924160, 698004451949894369643604, 958366819, 1292600836944248832000000, 61730804608003209434882691057687048843430047367, 774596490383746867096310967978602633912952910705, 11293402983446517527749484167, 271354002658488498557250468126777607, 1582832196482898885344603579204582624200406900, 1915348331075215196160000, 25903114815734305189200, 17637989218505790461956340437337302327, 925555145357455070105929881611, 2560473657877403707448416, 8852650863190120306717796412743, 1060181875732959743585518608786373618844898503, 1582831614437487903791132067064102478874690503, 622747494507583288172172, 21966949959910349007661000706642004187748127360, 2560473657877397520344423, 10080, 14135755109557030799249274151214860646543300, 26058176326645558134474389715471116271], 'label': '10749542400000000.cs.960._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044728
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26058202852333538213869203371108418495, 1242071895136428196203615, 367927, 26313084324925023213131411249412317369, 363600, 17637989850059001241963168088582924160, 698004451949894369643604, 958366819, 1292600836944248832000000, 61730804608003209434882691057687048843430047367, 11293402983446517527749484167, 271354002658488498557250468126777607, 1582832196482898885344603579204582624200406900, 1915348331075215196160000, 25903114815734305189200, 794470976968723857694560866496170789121762700781, 17637989218505790461956340437337302327, 925555145357455070105929881611, 2560473657877403707448416, 8852650863190120306717796412743, 1060181875732959743585518608786373618844898503, 42392360111977243334090117265979165060344019288, 1582831614437487903791132067064102478874690503, 622747494507583288172172, 21966949959910349007661000706642004187748127360, 2560473657877397520344423, 10080, 14135755109557030799249274151214860646543300, 26058176326645558134474389715471116271], 'label': '10749542400000000.cs.960._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044729
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26058202852333538213869203371108418495, 1242071895136428196203615, 367927, 26313084324925023213131411249412317369, 363600, 17637989850059001241963168088582924160, 698004451949894369643604, 958366819, 1292600836944248832000000, 61730804608003209434882691057687048843430047367, 11293402983446517527749484167, 271354002658488498557250468126777607, 1582832196482898885344603579204582624200406900, 1915348331075215196160000, 25903114815734305189200, 17637989218505790461956340437337302327, 925555145357455070105929881611, 2560473657877403707448416, 8852650863190120306717796412743, 1060181875732959743585518608786373618844898503, 42392360111977243334090117265979165060344019288, 1582831614437487903791132067064102478874690503, 622747494507583288172172, 21966949959910349007661000706642004187748127360, 2560473657877397520344423, 10080, 1596596244806933111756485402231455200174986850, 14135755109557030799249274151214860646543300, 26058176326645558134474389715471116271], 'label': '10749542400000000.cs.960._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044730
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [17988815623552244375224320010080, 1292600836944248832000000, 622747756649211088901760, 26536176092741419352219811840000, 622747506935713775626080, 1915348331075215196160000, 894653068413212180491358966906880005760, 12, 19678982400, 698004451949894369285854, 616523773774298119104609528053760000000, 62253456439132392803416039056848924478626545241, 10080, 268280812800, 42392360111977243334090117265979165060344019288, 794470976968723857694560866496170789121762332861, 82114922935583164447539224930653945519964160000, 62790241602174586101293498851172076748800005760], 'label': '10749542400000000.cs.960._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044731
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 960, 'diagramx': None, 'generators': [131846, 2507696714614014443520000, 1569439845726593236497489671748373708800000000, 243290200817664000, 1093700, 621572402461017047040000, 27461728753955084149456896000000, 20398254074524233259857749739351048192000000000, 13516122267648000, 1189877644614162143416159850987520000000, 281173939200, 17683523987479403909087232000000, 524959107744145507444451479779389129160109917509, 354980102400, 82114551828226152781078296293085209616726140977, 26584437368957224469706744791040000000], 'label': '10749542400000000.cs.960._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044732
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 960, 'diagramx': None, 'generators': [771120, 622747494130966364160000, 499761759264768016, 1073572741115654913612646407363310387200000000, 396154456853043064946270250546940298704307066190, 607832233316832054686273608089600000000, 6266937600, 250048261951488081, 40795764162394886717280563479805794713600000000, 18598592312775672096227328000000, 356418501096635391802301964608762344929334162607, 21777738900836704321536000000, 526261673867387060334436024320000000, 1888372313608552611840000, 354980102400, 363600], 'label': '10749542400000000.cs.960._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '960.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044733
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [131772, 86400, 17637988913211696148054810147553406003, 5760, 90723, 2248014636913802844240, 26058175695089837409379443451044899779, 536786388450724978074225357624911564715846483, 1046045234933203138589038924024760333274341130, 519044400, 27527514873993757335437304960657152658263052, 17892896933268978807369706351789040644, 2248014260303145785535, 61730804607476956276111189496507554322771761281, 2248001455555734319463, 12454132335, 376610736983060, 61730804911664436061251747667696595120729571934, 229776299687463118579832138709181491662323453326, 17892897216782823100241562386417949364, 28151109847987715721604, 1073572749807195382370925689285544781831507211, 8691541078534967432453309311014662403, 14135773002453942291702999287997330416624663, 186280546854737984211373132561598006345660304702, 83174359930280803441958702054383249219402866089, 271353675587873700986775747179452820, 13181358587488560, 41040, 82128314721932055943848690263647505900743725464, 21457691095806336736116738888861131994486399917], 'label': '10749542400000000.cs.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044737
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1000, 'diagramx': None, 'generators': [27899803433600403862040440469919261922309224, 67, 27527506182452690092631959163161804800000000, 41319158773188277730258038703354019840000000000, 1139107, 14135746418016246263783979029731924410624030, 41332550532952714174086886683487450256432083211, 111, 620499492675411148800099, 122377398054912029, 82142450441765617137631234142322976358400000000, 82128314695347600891367450163543292882751488059, 41319159685462889379373507793098867998720000030, 77607141158826639360029, 61730804911393064092360663765975302144000000111, 82114922935583191593490142076111751348224000011, 815887748459662537352843442537723519678835853946, 61744196367241383877773484402971928166400771231, 82128314695347618901960812616374324166656000067, 30, 766859, 61744196680103949319004545476613934003839322259], 'label': '10749542400000000.cs.1000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044738
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1000, 'diagramx': None, 'generators': [14135746418016246263783979029731924410624030, 41319159685462889379373507793098867998720000030, 61744196367241383877773484402971928166401492589, 82128314695347600891367450163549339569029120059, 620499492675411148800099, 30, 82142450441765617137631234142322976358400000000, 41332922830203861887856295164794207364322394166, 67, 82128314695347618901960812616374324166656000067, 61730804911393064092360663765975302144000000111, 12804747411456000, 41070, 41332550532952714174086886683487450256432083211, 77607141158826639360029, 61730804920339512875175697496723417527237953943, 111, 774568589686474259622585403834369499838836298142, 27527506182452690092631959163161804800000000, 122000787836928067, 82114922935583191593490142076111751348224000011, 41319158773188277730258038703354019840000000000], 'label': '10749542400000000.cs.1000._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044739
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 390625, 'diagramx': None, 'generators': [17999301201541536121749504000000, 20411645834288669703686597719484478259200000000, 121666023198720000, 93405312000, 82, 8946448455745580025685412413440000000, 26584437368957224469706744791040000000, 776880, 87657292800, 1318503944625305518080000, 17892896911491160051370824826880000000, 2482968698602907074560000, 55, 1537920, 61207409996683556420967161199290272972800000000, 506519820398592000, 774596117478934830605941036667981596493730280266, 710702866108755845368184887633426639578221364500, 186810624000, 35694117349932484988633088000000, 26851952064731656428453888000000, 19562808545280000, 622747494130966364160000, 270558299193701755437392185538858369344574839637, 78, 373680, 62253455231616758644487175647490421555200000000], 'label': '10749542400000000.cs.390625._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '390625._.A', 'old_label': '390625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '390625._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044740
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1679616, 'diagramx': None, 'generators': [40809899908812902963544347458835526451200000000, 710702866108755854808834752849940955348604273300, 607832233316832054686273608089600000000, 753661820742648409665231800962965814116832222767, 13516122267648000, 230271794789809067005917282353893472478349623816, 1099440, 620499492675411148800000, 9157942499262960772841472000000, 280215936000, 128758848970752000, 27145951539892951936794624000000, 1913100329619659980800000, 86, 88176211200, 1502640, 108, 62790241602174586101293498851172076748800000000, 590736951754796153148222162862080000000], 'label': '10749542400000000.cs.1679616._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1679616._.A', 'old_label': '1679616.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1679616._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044741
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100000000, 'diagramx': None, 'generators': [77607141158826639360000, 8852650863190120306704384000000, 773550071949031951360167131978505400669937416269, 20920904698664044470400288964002971648000000000, 251742877323825708088542150361181557533685595504, 181062604800, 60, 710702866108755854199056795754044452773703945700, 20398254074524233259857749739351048192000000000, 1941149256871928463360000, 121680, 295495929876537834377785827655680000000, 59, 193077561600, 6423296495616000, 526261673867387060334436024320000000, 1139040, 21777738900836704321536000000, 371714285150208000], 'label': '10749542400000000.cs.100000000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100000000._.A', 'old_label': '100000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100000000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044742
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '2562890625.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': 2562890625, 'diagramx': None, 'generators': [774582353725843622554197420808839062596788029460, 146530827649401921918334799952833104801480143242, 62253456134944940131157741414381487390720000026, 18293300676702831630090240000000, 62253455231616785790440009265657770612191620480, 732740544641114967901510388780312894216034250260, 20397882376430269533307093030055091634176000062, 732740544936084636104179543496549956962884477426, 60, 732740544641114967901509096179475949780391626226, 27145951539892951936794624000026, 295495957022489374270737764450304000026, 648449410598746669773837326711642032386837613406, 62253455231616767497139953010850133525463040000, 62239692381590573497639048941503012929536000002, 732740544641114967901510388780312894216035056660, 732740544641114967901509096179219854744505213426, 26, 903328181486670565766891065835520000026, 8852650863190376401652613120000], 'label': '10749542400000000.cs.2562890625.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2562890625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2562890625.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044743
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '27518828544.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': 1679616, 'diagramx': None, 'generators': [9756428270719782928852833355491, 1198824093069907723441845263400960000000, 61194018236919129733565340794000378953728493920, 17694816148391333385916146476160, 83160968761508244118952373854612090961057619200, 812160, 244001575673856000, 61194018549526777093020404980873568765221790640], 'label': '10749542400000000.cs.27518828544.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27518828544.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27518828544.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044744
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [52879125859094646649555, 371337674932224000, 14135764056014927194670861481249446612842816, 1596967378493500979071387532057122735761750976, 1596967378493483600839036125493679785617619207, 28151109136612420364160, 19939418763264000, 375233179292194180483020202038258903324222452034, 21777818755979318704348728960, 1175092381324692236160, 1582831614182571074638546122465229584166405216, 3, 1492560, 1189877644635941201893850966220991248480, 41346686279897001556645689991907550760433478503, 14135746689370542920583174129224314454332105, 14135764056040842300617443991806340204242560, 518928480, 23, 17892896911491160051377582900987147623, 711374856192000, 586166890038080193557303145368784695599090555356, 9217802458402852355455207504748860103, 271354285364640531555278960860728983, 894653068413212207467377144944839440483, 10080, 915068377000302041520268392990, 41063, 776887, 61716668861585193482617169494258872178312209840], 'label': '10749542400000000.cs.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044745
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '1638400000000.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': 100000000, 'diagramx': None, 'generators': [1093680, 9217828961509018206293546599710720000, 26058202525264809540853795486319987779, 41346686279370730420350670662517181644800448560, 82114922944800966578873294558633637020958720011, 9217802131333451478670355988480000000, 646300418472124417093680, 9217828961508423609908552507262323760], 'label': '10749542400000000.cs.1638400000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1638400000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1638400000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044746
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '10749542400000000.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': '10749542400000000.cs.10749542400000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10749542400000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10749542400000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044747
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [52879125859094646649555, 371337674932224000, 14135764056014927194670861481249446612842816, 1596967378493500979071387532057122735761750976, 1596967378493483600839036125493679785617619207, 28151109136612420364160, 19939418763264000, 105735063200465776923809060548881439342862393030, 21777818755979318704348728960, 1175092381324692236160, 1582831614182571074638546122465229584166405216, 3, 1492560, 1189877644635941201893850966220991248480, 41346686279897001556645689991907550760433478503, 14135746689370542920583174129224314454332105, 14135764056040842300617443991806340204242560, 518928480, 23, 17892896911491160051377582900987147623, 711374856192000, 586166890038080193557303145368784695599090555356, 9217802458402852355455207504748860103, 271354285364640531555278960860728983, 894653068413212207467377144944839440483, 10080, 915068377000302041520268392990, 41063, 776887, 61716668861585193482617169494258872178312209840], 'label': '10749542400000000.cs.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044748
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [52879125859094646649555, 371337674932224000, 14135764056014927194670861481249446612842816, 1596967378493500979071387532057122735761750976, 1596967378493483600839036125493679785617619207, 28151109136612420364160, 19939418763264000, 375233179292194180483020202038258903324222452034, 21777818755979318704348728960, 1175092381324692236160, 1582831614182571074638546122465229584166405216, 3, 1492560, 1189877644635941201893850966220991248480, 41346686279897001556645689991907550760433478503, 14135746689370542920583174129224314454332105, 14135764056040842300617443991806340204242560, 518928480, 23, 17892896911491160051377582900987147623, 711374856192000, 9217802458402852355455207504748860103, 271354285364640531555278960860728983, 894653068413212207467377144944839440483, 10080, 915068377000302041520268392990, 689245546164274111756432165794259183017299543150, 41063, 776887, 61716668861585193482617169494258872178312209840], 'label': '10749542400000000.cs.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044767
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [526262305421816359690531298700124863, 1073573644443818118277232128872088562862187470, 1569440445138640686519704840049040537093173165, 17637988913211644444399428113667182735, 20, 26976017466663542323200, 14135746689369943629446036904420212674640743, 26584447125384280196152421429417897549, 41043, 83174360252089826441222973357144886886524393076, 11292186815037157899013285691, 958003220, 11292238518686827997847593051, 86400, 5780, 209350517524447907884734745369761246175765372292, 7226115131, 83188123979131126455120824989814034429053075792, 7134672309937208, 271353686880059340554502705328249680, 609776766830569256440384353120, 315777265766178871790375100093, 376611176113215, 599683400537611135123621440441154310499, 8946449381299510287634861985128668783, 1175091669950275123200], 'label': '10749542400000000.cs.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044749
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [925553956164698262742179920655, 3, 1073572750062130221310319316070759531255592887, 5772, 40823291677523797315063232857743724140446717326, 376610217984023, 6758061133875120, 8946467054340400498072834037293424009, 1569439872039712602206507672159816033330973360, 16, 271617736509155892863784601548309482818787693474, 12973040640, 52879137952466681936660, 605518354899955852431175723056812120882298463318, 1046045234933202833296781278769739880308869780, 83188123979131126455120824989814034429053075792, 21777741148851341247353881683, 936846090100218995815771750328, 1596967352180426454130110694678055268065469376, 26313083693369430623876141406535869380, 1569441044550686328184246863531594432475379872, 51136, 1060180990297667840599643825550129179004197776, 2248021394986951635132, 14135764056014927194670861481249446612842816, 79855161842432028810244, 27527506708714679737258984744249702617660248, 14135746418016562041026192290643833291680007, 26313102008447847300460642869377804183], 'label': '10749542400000000.cs.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044750
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [52879125859094646649555, 371337674932224000, 14135764056014927194670861481249446612842816, 1596967378493500979071387532057122735761750976, 1596967378493483600839036125493679785617619207, 28151109136612420364160, 19939418763264000, 21777818755979318704348728960, 1175092381324692236160, 1582831614182571074638546122465229584166405216, 3, 1492560, 1189877644635941201893850966220991248480, 41346686279897001556645689991907550760433478503, 14135746689370542920583174129224314454332105, 14135764056040842300617443991806340204242560, 518928480, 23, 17892896911491160051377582900987147623, 711374856192000, 9217802458402852355455207504748860103, 271081322409799224254010880491031630187115194157, 271354285364640531555278960860728983, 894653068413212207467377144944839440483, 10080, 915068377000302041520268392990, 689245546164274111756432165794259183017299543150, 41063, 776887, 61716668861585193482617169494258872178312209840], 'label': '10749542400000000.cs.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044751
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28151109136612859569220, 526262588935766308637556489584691135, 1060180981622572755148385006769788776691410580, 523395522813094969105144633945889399209123757, 327069453653740919638573791951, 13181377308554180, 1073572750062104000912654557319571428385719059, 11292213790670482126359388819, 13412170815, 3, 711394016261760, 6758074545919923, 1569439846252855520141591858618923181082322579, 523394637106475337901282267642132910959703151, 523376276147600917377705462804617427800693871314, 6706073532, 1596967377967221937458467951255168128201665132, 83174360546804577216255037369838170819993858646, 523394619484932385511917817655952296211163605, 523394637377828709004074666951703197582250131, 5780, 14135746418016551555474003905507829753647452, 271081322409799224254010880491031630187115194157, 915068326471373373217947786260, 26058184853034897146004140543446032569, 15, 12454047364, 12972965783, 958003211, 1175091669962729290811], 'label': '10749542400000000.cs.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044752
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1583204215859667558508909134246832154029364026, 28151109136612859569220, 526262588935766308637556489584691135, 1060180981622572755148385006769788776691410580, 523395522813094969105144633945889399209123757, 396154456853043064946270250546940298704307066233, 327069453653740919638573791951, 13181377308554180, 1073572750062104000912654557319571428385719059, 11292213790670482126359388819, 13412170815, 3, 711394016261760, 6758074545919923, 1569439846252855520141591858618923181082322579, 523394637106475337901282267642132910959703151, 6706073532, 1596967377967221937458467951255168128201665132, 83174360546804577216255037369838170819993858646, 523394619484932385511917817655952296211163605, 523394637377828709004074666951703197582250131, 586166890038080193557303145368784695599090555356, 5780, 14135746418016551555474003905507829753647452, 915068326471373373217947786260, 26058184853034897146004140543446032569, 15, 12454047364, 958003211, 12972965783, 1175091669962729290811], 'label': '10749542400000000.cs.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044753
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 371337674932224000, 1861396296141897253237758, 1596967378493500979071387532057122735761750976, 958003281, 53952035644719704943463, 104703154302942468982442952372635657925609934040, 631554507979407039706398725767, 1569439863364582455000797165121353959060584971, 25903107681062953017678, 936846090100212572537998565056, 53952034933338580684803, 526261673867415211443572649195176899, 19939418763264000, 52879125147732244856880, 61221545769686010951256573624717595359743180724, 17366635553400989301170057021006140092, 271354296656774467576108576119305540, 41346686279897001556645689991907550760433478503, 1189877644614164057589399967634523298638, 14135763784651483887585121668972243770367375, 23, 17892896911491160051377582900987147623, 82114551828226152781078296293085209616724699537, 6268434480, 79855142614388121663415, 586166890038080193557303145368784695599090555356, 19160064104, 81, 11292160911545669178433132800, 1175091669968478680961, 41063, 14135746689370858697720804211948117606878648, 21777738900837080950474963216], 'label': '10749542400000000.cs.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044754
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135764056014927194670861481249446612842816, 371337674932224000, 1861396296141897253237758, 1596967378493500979071387532057122735761750976, 958003281, 53952035644719704943463, 104703154302942468982442952372635657925609934040, 631554507979407039706398725767, 1569439863364582455000797165121353959060584971, 25903107681062953017678, 936846090100212572537998565056, 53952034933338580684803, 526261673867415211443572649195176899, 19939418763264000, 52879125147732244856880, 61221545769686010951256573624717595359743180724, 17366635553400989301170057021006140092, 271354296656774467576108576119305540, 41346686279897001556645689991907550760433478503, 1189877644614164057589399967634523298638, 14135763784651483887585121668972243770367375, 23, 17892896911491160051377582900987147623, 6268434480, 79855142614388121663415, 19160064104, 81, 689245546164274111756432165794259183017299543150, 11292160911545669178433132800, 1175091669968478680961, 41063, 14135746689370858697720804211948117606878648, 21777738900837080950474963216], 'label': '10749542400000000.cs.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044755
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1046045261246313356842323668682738439830976576, 20, 526261695645152937201411949369228820, 27527532495536383462063656063954946174681482, 27527506708714985029569407295396718634841623, 6423297014625140, 11292162086643385813509047040, 711375375110415, 9217802436625167406666952636915434800, 609776689223428432396585181291, 27527515128901766907064367842647998803686487, 518918420, 814855467290156864936443724550198472434191730431, 121684, 6423315655731127, 14135772476192562422473771396114277658634165, 305291688951965613857316444255, 518999043, 19562808545366415, 1582831631804113994764541979167715606321617300, 9217802741110218309374417970299841136, 2248002166949231706724, 526262599421317321912547727998605940, 4, 21981086860946468256543796345093293576327899531, 5783, 81619055830972226146432146368518340520009080403], 'label': '10749542400000000.cs.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044756
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5764, 40809899909084257564688036370632990682463033011, 21777738900837080944726995135, 27527523820441614596463217850649164930755212, 83188123979131126455120824989814034429053075792, 6266978663, 621068878286082526799090678419, 1073572741387008610978335441235902723538591936, 16, 1073572741641917197256800298529855966607767616, 2248001455555734288495, 3, 26976017466663103370168, 1175098804640347961543, 1582831623129018909315276013178339808463622411, 82128315016630379334874909554167419327935708801, 78680050944433495729223, 518918411, 14135746944277931423385902963998495281471394, 82128314704039167896301173638209191970231570573, 53952048114696210170180, 1073572758482290467013661611648183154964236180, 131783, 1073572741387009198977284691295229714765483535, 17637989534280547458132340253859930740, 1073572749807195371080623926170078849791196096, 90740, 1596596244806933111756458426213988537592193250, 376617442934903, 1596967351909045937882308445571309318724833127], 'label': '10749542400000000.cs.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044757
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1046045261246313356842323668682738439830976576, 20, 526261695645152937201411949369228820, 27527532495536383462063656063954946174681482, 27527506708714985029569407295396718634841623, 6423297014625140, 11292162086643385813509047040, 711375375110415, 9217802436625167406666952636915434800, 609776689223428432396585181291, 27527515128901766907064367842647998803686487, 518918420, 121684, 6423315655731127, 14135772476192562422473771396114277658634165, 305291688951965613857316444255, 733786962450894082503761054276202763715771167437, 518999043, 19562808545366415, 1582831631804113994764541979167715606321617300, 9217802741110218309374417970299841136, 2248002166949231706724, 526262599421317321912547727998605940, 4, 21981086860946468256543796345093293576327899531, 5783, 81619055830972226146432146368518340520009080403], 'label': '10749542400000000.cs.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044778
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '40.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': '40T313779', 'count': 40, 'diagramx': None, 'generators': [61744196367241383877773484402971928166400000000, 17999301201541536121749504000000, 733277703291557280067443194920050642989467366996, 8842165285200828560179200000000, 732754308698385432301660549933110409990511569810, 5760, 193077561600, 2482968698602907074560000, 1139040, 83188123979131126455120824989814034429053801552, 25903107681056686080000, 94, 912274611649115469089744848158720000000, 1189622736615882627808810358538240000000, 4, 766800, 256094948229120000, 711374856192000, 268280812800, 536786370557827456806323203681655193600000000], 'label': '10749542400000000.cs.40.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044758
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [11292189062654805789376701380, 5767, 51704033477782926281060, 1569440150168972189850400510745570604380060233, 894381732421148296517777932419072000000, 16, 7, 915068326471360568470536259688, 1060180981351219384852123723875828438748790895, 4, 41869338093133287415205158093299758143078343763, 12454173371, 14135755109556725507587298203067759838397559, 25903114439136979973768, 27527515400254821426163292976132368212725863, 17892896911491160051384006545676727147, 621068850134972678811814163283, 518999060, 86420, 1175091669955584179303, 1569439845726593846274205871213124276344005692, 17366635237623774166128058771037194173, 19160109371, 1046045235459463908681423816382442709654069191, 1569439854944413672426314510571989763214850576, 689245546164274111756432165794259183017299543150, 271354590656196749273070141124295524, 26313084009146618782907431073255491684, 25903108392443996323696, 305291690024894627512430649620], 'label': '10749542400000000.cs.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044759
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [305291636072840842747306070420, 1569439872311031237009142265719920447056480032, 11292160912044719649980083294, 146544592001650287105350386088448214483839341430, 41056, 82142450441765617137633715936071472913497651234, 523394628160035419031239640583058730606883285, 20398254665261185036432288088950764898086953108, 61730804607476948043721327894760678355554435783, 10084, 1582831622857665223242445895687132357053312135, 26976017843273321344080, 21777738900849885679165571776, 82142451631388353764806025111166705260579590419, 27527523549088853270309411235296644819850175, 3, 936846064197470182463259597416, 315777214062132212662272090727, 21777738900849509068947577695, 82114923830236233166042419922957060757065733767, 936846064197104891462590124895, 13181357629530731, 526261979159024308280088233511686411, 12, 126016, 21777818755986076764524624656, 27527532766890974118207628265002837048196411, 936846065372203696082819846419, 17637989828280047347437436405988193120, 82142451631388353775291603100356348571110150490, 41855573471710325703771913171657107614702807094, 19939425988250164], 'label': '10749542400000000.cs.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044760
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 1596967352180426454130110694678055268065469376, 21777741148851341247353881683, 79855161842432028810244, 376610217984023, 16, 26313102008447847300460642869377804183, 51136, 2248021394986951635132, 1569441044550686328184246863531594432475379872, 754198235414840918489052816873170167799340110059, 925553956164698262742179920655, 6758061133875120, 3, 1046045234933202833296781278769739880308869780, 5772, 40823291677523797315063232857743724140446717326, 1073572750062130221310319316070759531255592887, 26313083693369430623876141406535869380, 710702866108755854504349647995307417965318449380, 936846090100218995815771750328, 8946467054340400498072834037293424009, 27527506708714679737258984744249702617660248, 1060180990297667840599643825550129179004197776, 52879137952466681936660, 1569439872039712602206507672159816033330973360, 14135746418016562041026192290643833291680007, 12973040640], 'label': '10749542400000000.cs.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044761
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [526262305421816359690531298700124863, 1073573644443818118277232128872088562862187470, 1569440445138640686519704840049040537093173165, 17637988913211644444399428113667182735, 20, 26976017466663542323200, 14135746689369943629446036904420212674640743, 26584447125384280196152421429417897549, 41043, 83174360252089826441222973357144886886524393076, 11292186815037157899013285691, 958003220, 11292238518686827997847593051, 86400, 5780, 209350517524447907884734745369761246175765372292, 7226115131, 210947113456392275577038500998553416638912400673, 7134672309937208, 271353686880059340554502705328249680, 609776766830569256440384353120, 315777265766178871790375100093, 376611176113215, 599683400537611135123621440441154310499, 8946449381299510287634861985128668783, 1175091669950275123200], 'label': '10749542400000000.cs.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044762
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2508769624399620860804408, 526261695645127136263187005063363709, 121700, 925555171158381243436640128091, 536786379504275923844090044039269449687542387, 526261695645179913206073671543639048, 1267872820933160623104011, 17892932278539135010684451466565504080, 27527506182453299869323430612277794240711075, 19160185687, 271353980879509773839670014754942023, 396154456853043064946270250546940298704307066233, 77607141535455578403852, 27527506182452995384268032016809319196473528, 17637988934989383344877264743043077760, 4, 42392731514303933580716751555843616837686215543, 958124900, 41318787961327195646333610235682267887480379638, 6758080812857540, 2248014260309851847540, 61730805788408178959409177020250969351602361656, 21779626098065777602449597371, 305293525518083088352917196811, 11, 17366635564693173868065242174718007027, 1046045234933203160366104548419479436319946874, 6706073531, 1582831605491030290103026875322706491617583481, 10100, 711394016342423], 'label': '10749542400000000.cs.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044763
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2508769624399620860804408, 526261695645127136263187005063363709, 121700, 925555171158381243436640128091, 536786379504275923844090044039269449687542387, 526261695645179913206073671543639048, 1267872820933160623104011, 17892932278539135010684451466565504080, 27527506182453299869323430612277794240711075, 19160185687, 271353980879509773839670014754942023, 77607141535455578403852, 27527506182452995384268032016809319196473528, 17637988934989383344877264743043077760, 4, 42392731514303933580716751555843616837686215543, 958124900, 6758080812857540, 2248014260309851847540, 61730805788408178959409177020250969351602361656, 21779626098065777602449597371, 305293525518083088352917196811, 11, 17366635564693173868065242174718007027, 1046045234933203160366104548419479436319946874, 6706073531, 1582831605491030290103026875322706491617583481, 500292550294962473930813914376679143931360777630, 10100, 711394016342423], 'label': '10749542400000000.cs.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044764
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [11292189062654805789376701380, 5767, 51704033477782926281060, 1569440150168972189850400510745570604380060233, 894381732421148296517777932419072000000, 16, 7, 915068326471360568470536259688, 1060180981351219384852123723875828438748790895, 4, 41869338093133287415205158093299758143078343763, 12454173371, 14135755109556725507587298203067759838397559, 25903114439136979973768, 27527515400254821426163292976132368212725863, 17892896911491160051384006545676727147, 621068850134972678811814163283, 518999060, 86420, 1175091669955584179303, 1569439845726593846274205871213124276344005692, 17366635237623774166128058771037194173, 82114551828226152781078296293085209616724699537, 19160109371, 1046045235459463908681423816382442709654069191, 1569439854944413672426314510571989763214850576, 271354590656196749273070141124295524, 26313084009146618782907431073255491684, 25903108392443996323696, 305291690024894627512430649620, 524959107744145507444451479779389129160109917539], 'label': '10749542400000000.cs.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044765
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [621068878286082526799090678419, 3, 90740, 27527523820441614596463217850649164930755212, 1073572758482290467013661611648183154964236180, 26976017466663103370168, 1582831623129018909315276013178339808463622411, 5764, 1073572741387008610978335441235902723538591936, 21777738900837080944726995135, 53952048114696210170180, 16, 40809899909084257564688036370632990682463033011, 131783, 1073572741641917197256800298529855966607767616, 82128315016630379334874909554167419327935708801, 78680050944433495729223, 6266978663, 17637989534280547458132340253859930740, 1175098804640347961543, 1596967351909045937882308445571309318724833127, 1073572749807195371080623926170078849791196096, 14135746944277931423385902963998495281471394, 1073572741387009198977284691295229714765483535, 518918411, 2248001455555734288495, 82128314704039167896301173638209191970231570573, 376617442934903, 754198235414840918489052816873170167799340110059], 'label': '10749542400000000.cs.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044766
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [305291636072840842747306070420, 1569439872311031237009142265719920447056480032, 11292160912044719649980083294, 146544592001650287105350386088448214483839341430, 41056, 82142450441765617137633715936071472913497651234, 523394628160035419031239640583058730606883285, 20398254665261185036432288088950764898086953108, 61730804607476948043721327894760678355554435783, 10084, 1582831622857665223242445895687132357053312135, 26976017843273321344080, 21777738900849885679165571776, 82142451631388353764806025111166705260579590419, 27527523549088853270309411235296644819850175, 3, 936846064197470182463259597416, 187849615002888635166606694098948439730069345216, 315777214062132212662272090727, 21777738900849509068947577695, 82114923830236233166042419922957060757065733767, 936846064197104891462590124895, 13181357629530731, 526261979159024308280088233511686411, 12, 126016, 21777818755986076764524624656, 27527532766890974118207628265002837048196411, 936846065372203696082819846419, 17637989828280047347437436405988193120, 82142451631388353775291603100356348571110150490, 19939425988250164], 'label': '10749542400000000.cs.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044779
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [754198235414840918489052816873170167799340120139, 122000787836928000, 41332550532952714174086886683487449907200000000, 82651709306140991904344925386841469747200000000, 1174320, 621572402461017047040000, 9146650338351415815045120000000, 812160, 29, 19228043907072000, 93405312000, 35694117349932484988633088000000, 9217802131333451478670355988480000000, 104, 1888372313608552611840000, 13412044800, 774596490383746867096310967978602633912953677505, 599157138536674346113573139251200000000], 'label': '10749542400000000.cs.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044768
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [126015, 3, 355419238331, 12972960081, 711642618131768, 958044248, 1175104474696728627143, 166406058516257096569696191107241245283172260385, 1073572741115663777555748116176157024044384664, 1596967369547034839803655520176201817187683216, 523394619739848321375212215282558716842488397, 1073572741115663777555748116669830251452067224, 11292162086649432761800595283, 26313110523545567219862268753378258580, 19228399326339856, 41869336920877213161118862297684478682547933332, 11, 15, 550922125667384487608056519459775148174652096, 609776691471449116158568157292, 2507696721372431515500743, 35976824666430256557809952618251, 1073572759008552740174018952224637748312355853, 271389979483178481731391368291359939, 1582831606017291354196233481841350795518003139, 14135746418033929790281403169273384098805843, 1582831918098687417278574397165983272614217147, 10088], 'label': '10749542400000000.cs.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044769
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17637988924503805355566290192672989283, 305291636072841177693006796820, 958044255, 26058175716867576310209013182619356248, 86419, 11292160911544957815512144659, 26058175695089837409865647236715302437, 1181202549834004460746938777509678759779, 3, 210933720819612759306946944243681302574992597241, 518918400, 526261673867387060334436024320005779, 12454173375, 5775, 915068325296268187421270025603, 1582831623129019214609366904094852834918754681, 584583685536723595061204606279355819151076148479, 8691540457466064418335919977572085847, 526261673867441012369746066085022015, 27527515400263989856074863575867479047157863, 17366635858693866270833552626140934323, 1060181007409395090428212398969775842871593612, 8691540457466090321456782552832183063, 21966951141112898220595345693173620557131436114, 27527524075350527140204065738259517646678967, 15, 17892896911491188202480338067720413296, 1175091669949317125776, 26584437990026075780027900212034605935], 'label': '10749542400000000.cs.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044770
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14135764310914072825805072330549425426588173, 958003200, 711388268236815, 26058176326644319485927762377116533154, 1060180981351218469783798427229880327225062484, 480954849168540025985668284189904793533018332721, 27527515400254821426109341306489858300783441, 526261685159550219887272672901935463, 26976017843286214354568, 13412125459, 27527523549114757891353528513782415967890488, 524973244098395722250276033782695933070229023427, 609776715126535402060652124247, 1060180981351218469783798427230256930736902404, 925553931436675493580383169123, 18720979200, 5780, 26058176000381527434254842913301408004, 2248002166936338570244, 11292240766687572191179760659, 17366636163177754956660783023603372996, 271354296656749739572902216161121223, 83174359930807065420309305699565226597924396890, 12, 1198569202766446917874200608471372623451, 53952054496133714010735, 14136953407389036616948155538506506505414980, 21981085680015262940184141343268161904344632960, 4], 'label': '10749542400000000.cs.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044771
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [104703154302942468982442952372635657925609934040, 1046045234933202833296781278769739880308869780, 79855161842432028810244, 27527506708714679737258984744249702617660248, 12973040640, 83188123979131126455120824989814034429053075792, 26313083693369430623876141406535869380, 925553956164698262742179920655, 710702866108755854504349647995307417965318449380, 8946467054340400498072834037293424009, 1073572750062130221310319316070759531255592887, 16, 14135746418016562041026192290643833291680007, 40823291677523797315063232857743724140446717326, 3, 5772, 1060180990297667840599643825550129179004197776, 6758061133875120, 21777741148851341247353881683, 1569439872039712602206507672159816033330973360, 936846090100218995815771750328, 376610217984023, 1569441044550686328184246863531594432475379872, 14135764056014927194670861481249446612842816, 2248021394986951635132, 51136, 1596967352180426454130110694678055268065469376, 26313102008447847300460642869377804183, 52879137952466681936660, 814855467290156864936443724550198472434191730431], 'label': '10749542400000000.cs.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044772
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26584437380249386556350130617522017120, 3, 550922134613832932059019641284719100665946724, 52879132282390622249063, 1582831605491029691620413912014643391368452437, 8691540457466066666459376326372478073, 526261673867388235433240663709907219, 519009143, 5767, 13181358587453280, 1060181598129900264141680810027766004626503571, 1060180990569021537963366982515129299555242091, 8691540784535441640027350725410906732, 1175091669950275123223, 15, 8946448455745607001722441891275713124, 26058175695089863312845657428545684339, 1060180990297666947307119602246456402685619211, 1596596244806933111756458426213988537592193250, 14135772731099961410904047710178640715839383, 20935041035819021639890862744748816124034751405, 51127, 376616485043295, 18721030320, 1060181580508366458401411565909426640605026028], 'label': '10749542400000000.cs.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044773
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41332550541644255546623811070836819239192383947, 925553903285579161727908131848, 20, 2248001455555215365780, 126008, 53952042068015680602720, 42378595794470380902030141457108695186917692916, 61716668887117106894065358461703500036137259499, 523394611319653623692787877303257672092047533, 53952041356622622269303, 11292238518706056060914778731, 1046045235459463908679563595171212372068224095, 1596967352435308210234275521834414177070775068, 78680051321042755629364, 1569439854418143145908064259995622763485424557, 526262610713529937490983312505946723, 27527506182452690092709566317836772867198011, 19160185691, 83188123979131126455120824989814034429053075792, 1596968263657396827392729693389193736945855415, 7, 25903107681330714917845, 27527506708714691029471600323061798189250756, 1073572750333457360723314196187274018197687711, 4, 14135746418016246263783979030443112456197771, 5775, 26976017466681744429371, 711374856197775], 'label': '10749542400000000.cs.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044774
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14135755364465311787994377419299898281590880, 1189877644614162143416665659433063851631, 3, 1582832491723912226730589375420155880693000343, 12454041616, 1569439872311030932525330011935755437863180660, 17637989838765600608713548446475209047, 1073573340527701470344274005152917819211781875, 536786396616003457189659155222023723350245827, 925553957237601290294169237843, 81619056742991956910957535701369729564258467260, 2248001455567669401620, 526261989645842019283631294005305607, 28151109136618607468171, 631554482076312540007861079055, 327071290322028185105556464656, 79855143325775871021367, 19678992499, 1582831614708841263604325203935749357401469369, 25903107681070098175924, 51704033477770472198415, 586139362531897723194979307239086554935993843086, 21777740075928750894483154567, 621068904087008323512797008567, 8, 958003215, 6266937607, 1582831605491030605880319617499105189034236256], 'label': '10749542400000000.cs.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044775
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [609776689223447660421771315136, 17637989240281072296824027165712394100, 1596967352180399929247422009615340934524508252, 77607160386877252505540, 20, 1060180998989207394287631933905307112120503603, 61221545751793113745768343773499845084433416916, 14135763784652104956459984164658434165555771, 519044419, 11292163159559594709196890720, 536786396616004077450116777739045532200023043, 14135746418016573333158952720418325716714820, 21457692268045982702416736441663780073737404140, 27527514873994073114489108781794760956933764, 9217802131333451478670356169544056340, 1175092046578695248656, 711375375116163, 19562821518291136, 14135764310913789311312231025249588897548180, 1046045260991377918609903562098939084966209210, 4, 21457691078439691763842464478488872835614021850, 18721030324, 230285557674305391768894373363046811460386887754, 121696, 10088], 'label': '10749542400000000.cs.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044776
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [396154456853043064946270250546940298704307066233, 14135764056005170767617485961630275418683079, 1569440158334285741205373972923699492005990482, 1596967360855513002705806212243700955998022580, 6423315216685927, 1569439845997946933863101200680919611054274681, 21777741148838871264580592652, 609776740927474380131548774343, 2248008590227086212403, 1582831632075467974837465407161286999410483764, 62762714704095756696224532671931737136398176623, 711375375110423, 7134671870852407, 80656, 26058176000381473482226291038529811295, 14135746689370553406110532316130109271648567, 1060180998717863475128054753505967867731998692, 523394610793391024269636135100317788139453525, 12804748369545612, 958044259, 7, 10103, 526261685159576123001711796909028404, 4, 17892897826559512323676041457784627760, 1046045243879650679265621449922590479425219232, 26976037406093801631380], 'label': '10749542400000000.cs.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044777
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79855142614382812764256, 41346686879054157156581756372171889967627345237, 550922116975843724847847258659324029319465642, 25903108057673610172808, 20, 79855155795745751188327, 621068850135350774803188351380, 1175091669962729210180, 126000, 526261673867388235439287343720652724, 958048568, 11292212615591240326689827767, 82637574471471325655106963513656667800348313619, 550922143560281083319571244014410561347594080, 90723, 536786388195816381310206166395862604038399968, 82114924125205901684492640600722730169444069281, 1582831605762383976983085143203913636549785753, 271353675587925405026300209677296663, 1596967656351424564165251962865952993000294394, 10095, 26058175695089839657374140932672313527, 26976017466681744384008, 6266937600, 315777214062132212843334604811, 27527532766890059049936284018944275148380259, 1175091669949317171143, 146544592001650287105350386088448214483839341430], 'label': '10749542400000000.cs.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044780
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [936846115901157932408003875223, 17637989218503281691966649822153519455, 52879125147719270445372, 5764, 53952048114682798170728, 82142450442291878811498623450793673479451901299, 958008971, 121700, 40809899908812903595098801486208344307916611212, 1582831623129018909315223134072378306680582416, 82142450450457176193692119033173654045671787630, 2248001455555734364811, 26313093155796957134546596994275775317, 42365204008121480574846929189647333045018335859, 536786396870911150175704371525774385397939291, 7, 5779, 1046045252571191746508426796206289961664681524, 14135764056005769252144622516191205822653383, 925553983140702548047653689532, 20411646719995290282222128175638617191229300323, 631554507979407039713104748180, 4, 2248001455555734288499, 11292214863579891122478688563, 936846144052248217224609849611, 82142450442037006202044821703331993995709785447], 'label': '10749542400000000.cs.64.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044781
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [609776689223427721022168870407, 1046045234933202539297255486849213236927717743, 367924, 27527506453806975457192635576203012226819139, 14135746418016246265672351343716906697164885, 19160431935, 181062972720, 403200, 806400, 526261685159547971880105214249539131, 631554428124265136700358563128, 1073572741115654913612646407376491752054426186, 518918403, 83188123979131126455120824989814034429053075792, 1582831606017291975265083616814029607332764739, 367935, 11292160911544957809765219120, 936848572966729291082493772096, 1596967351909046863436238707161137521769107783, 26058176304867199909242726618381143078, 1596967960267541854135680453750330202957977678, 81619056126468174294492943276091000787695308899, 523394611319653002623938815240364117982407041, 754198235414840918489052816873170167799340110059, 1073572741115655218904284728224460136383795255, 1073573036611612230101495839762250957736821864, 8691540479245122896034170230590063459, 367920], 'label': '10749542400000000.cs.80._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044782
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [14135764056014927194670861481249446612842816, 1596967352180426454130110694678055268065469376, 21777741148851341247353881683, 79855161842432028810244, 376610217984023, 16, 26313102008447847300460642869377804183, 51136, 2248021394986951635132, 1569441044550686328184246863531594432475379872, 925553956164698262742179920655, 6758061133875120, 3, 83188123979131126455120824989814034429053075792, 1046045234933202833296781278769739880308869780, 271617736509155892863784601548309482818787693474, 5772, 40823291677523797315063232857743724140446717326, 1073572750062130221310319316070759531255592887, 26313083693369430623876141406535869380, 710702866108755854504349647995307417965318449380, 936846090100218995815771750328, 8946467054340400498072834037293424009, 27527506708714679737258984744249702617660248, 1060180990297667840599643825550129179004197776, 52879137952466681936660, 1569439872039712602206507672159816033330973360, 14135746418016562041026192290643833291680007, 12973040640], 'label': '10749542400000000.cs.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044783
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [609776689223427721022168870407, 1046045234933202539297255486849213236927717743, 367924, 27527506453806975457192635576203012226819139, 14135746418016246265672351343716906697164885, 19160431935, 181062972720, 403200, 806400, 794994000471888847399146709191913264283775483548, 526261685159547971880105214249539131, 631554428124265136700358563128, 1073572741115654913612646407376491752054426186, 518918403, 83188123979131126455120824989814034429053075792, 1582831606017291975265083616814029607332764739, 367935, 11292160911544957809765219120, 936848572966729291082493772096, 1596967351909046863436238707161137521769107783, 26058176304867199909242726618381143078, 1596967960267541854135680453750330202957977678, 81619056126468174294492943276091000787695308899, 523394611319653002623938815240364117982407041, 1073572741115655218904284728224460136383795255, 1073573036611612230101495839762250957736821864, 8691540479245122896034170230590063459, 367920], 'label': '10749542400000000.cs.80._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044784
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [609776689223427721022168870407, 1046045234933202539297255486849213236927717743, 367924, 27527506453806975457192635576203012226819139, 14135746418016246265672351343716906697164885, 19160431935, 181062972720, 403200, 806400, 41332550550590712855018365965547563844668993212, 526261685159547971880105214249539131, 631554428124265136700358563128, 1073572741115654913612646407376491752054426186, 518918403, 83188123979131126455120824989814034429053075792, 1582831606017291975265083616814029607332764739, 367935, 11292160911544957809765219120, 936848572966729291082493772096, 1596967351909046863436238707161137521769107783, 26058176304867199909242726618381143078, 1596967960267541854135680453750330202957977678, 81619056126468174294492943276091000787695308899, 523394611319653002623938815240364117982407041, 1073572741115655218904284728224460136383795255, 1073573036611612230101495839762250957736821864, 8691540479245122896034170230590063459, 367920], 'label': '10749542400000000.cs.80._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044785
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378095736066048000, 754198235414840918489052816873170167799340029419, 711374856192000, 30, 847440, 1269047912603090780160000, 355938105600, 25903107681056686080000, 41332550550590712855018365965547563844669472732, 83188123979131126455120824989814034429053030432, 523394610793391012977475223548225126400000000, 35694117349932484988633088000000, 16, 26536174850669524215791616000000, 321554105571627671787158136422400000000, 12972960000, 599157138536674346113573139251200000000, 1128960, 81605664071207789680824910938641321164800000000], 'label': '10749542400000000.cs.80._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044786
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [41841810309602709747861053977548179198146229820, 536786388195816381310180263301362650193268339, 621068852382974845742843687531, 1569439872311031542302639735349867025117402735, 363600, 27527532766890995895973505119508604448556172, 19679476328, 536786370829182069240287004887050319293388231, 550922116975844324138957317703628546331752968, 20948432804258544305225955909380969624715354768, 19160557924, 8691541372534389714610530419472595203, 19562820999815536, 519412324, 8691541372534469569759902844698657124, 8691541089020494790743364714331932205, 733277703291557280067443194920050642989466686596, 19679476335, 17637989828279969740296277591802784016, 493338743943938660, 711375376284728, 1046046442177482696374860845511681729010837833, 526261979159023133181660235955400976, 26584438305803340370845825404187585139, 4, 1532160, 11292162086649432506053536004, 2248001832172659384255], 'label': '10749542400000000.cs.96._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044787
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [41841810309602709747861053977548179198146229820, 20935040462448696869358085454808500278513834830, 536786388195816381310180263301362650193268339, 621068852382974845742843687531, 1569439872311031542302639735349867025117402735, 363600, 27527532766890995895973505119508604448556172, 19679476328, 536786370829182069240287004887050319293388231, 550922116975844324138957317703628546331752968, 20948432804258544305225955909380969624715354768, 19160557924, 8691541372534389714610530419472595203, 19562820999815536, 519412324, 8691541372534469569759902844698657124, 8691541089020494790743364714331932205, 19679476335, 17637989828279969740296277591802784016, 493338743943938660, 711375376284728, 1046046442177482696374860845511681729010837833, 526261979159023133181660235955400976, 26584438305803340370845825404187585139, 4, 1532160, 62790613891005547033185955264053324821942490792, 11292162086649432506053536004, 2248001832172659384255], 'label': '10749542400000000.cs.96._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044788
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [41841810309602709747861053977548179198146229820, 536786388195816381310180263301362650193268339, 621068852382974845742843687531, 1569439872311031542302639735349867025117402735, 363600, 27527532766890995895973505119508604448556172, 19679476328, 536786370829182069240287004887050319293388231, 550922116975844324138957317703628546331752968, 20948432804258544305225955909380969624715354768, 19160557924, 8691541372534389714610530419472595203, 19562820999815536, 519412324, 8691541372534469569759902844698657124, 8691541089020494790743364714331932205, 19679476335, 17637989828279969740296277591802784016, 493338743943938660, 711375376284728, 1046046442177482696374860845511681729010837833, 526261979159023133181660235955400976, 26584438305803340370845825404187585139, 4, 1532160, 774596490383746867096310967978602633912953677505, 62790613891005547033185955264053324821942490792, 11292162086649432506053536004, 2248001832172659384255], 'label': '10749542400000000.cs.96._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044789
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 19, 378095736066048000, 774568961992137352985876852314911171109391730431, 82142450441765617137631234142322976358400000000, 12454041600, 1174320, 8946448455745580025685412413440000000, 67, 1941149256871928463360000, 376610217984000, 9462427552413548027707392000000, 616523773774298119104609528053760000000, 35694117349932484988633088000000, 754184472261424851538774530141631875027311892370, 193077561600, 111, 41319158773188277730258038703354019840000000000, 489600, 1175091669949317120000], 'label': '10749542400000000.cs.100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044790
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1240896803466478878720000, 21980713704581370582016091308657391475670462198, 186280546854738001894897120041001915432892304702, 315777214062132212662272000000, 83188123979131090500073899708415199573117075781, 847440, 181581523200, 295767283552125705830770771230720000000, 493338462769152000, 1134720, 122377398054912000, 6266937600, 1941149256871928463360000, 936846064197104891461632000000, 1189877644614162143416159850987520000000, 15, 62253455231616758644487175647490421555200000000, 94, 631554428124264425324544000000, 27527506182452690092631959163161804800000000, 25], 'label': '10749542400000000.cs.100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044793
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [61730804625114937272710262832470708581842591931, 12804753678438976, 1596967369547035145095937893678429930795059184, 754198235414840918489052816873170167799340110059, 16, 61730805510805111564160615587110882973535068807, 19160074103, 14135746418017171817741216644538153518007063, 26976036694713716332812, 3, 82142451631914615743158541753658062700094499760, 711387829152012, 1596968541786691466306247012682975974312755849, 550922412743128170264138310244060394163608989, 2248021018731633914164, 1207515642989801394225764521269914082484, 41841809406019630323820546806994178262586277780, 131776, 376610218029367, 83188495685390359840395131764857926430308054895, 8946449087300036301322203969985327482, 83188496267164418061428381595837497730634639451, 621068876038093541213675530080, 711381123139696, 10092, 1569439845726594162051421108423867302156160080, 958048563, 271353675587871452991701636692823056, 814855467290156864936443724550198472434191730431, 1175098093258266868339, 17366636163177727980642981607876771680], 'label': '10749542400000000.cs.4._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044794
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [646300418472124416000000, 41855945143746105187064361907035675033600000000, 1941149256871928463360000, 9146650338351415815045120000000, 378095736066048000, 607832233316832054686273608089600000000, 733277703309178823314638025156658635116911892361, 23, 100, 174356582400, 774568962582857850221200526582228820254548105679, 13412044800, 847440, 936846064197104891461632000000, 486957011853312000, 9217802131333451478670355988480000000, 1073572741115654913612646407363310387200000000, 448560], 'label': '10749542400000000.cs.144._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044795
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [1292600836944248832000000, 7, 8852650863190120306704384000000, 80640, 14135746418016246263783979029731737600000000, 355938105600, 295767283552125705830770771230720000000, 262013875200, 21980713704581388570831714860901766699990462159, 12804747411456000, 41855573471710316872898788882373505231854807119, 249713497313280000, 116, 62253455231616758644487175647490421555200000000, 1139040, 894653068413212180491358966906880000000, 9168428077252252519366656000000, 187849615002888661082519277555753187993493345272, 1175091669949317120000], 'label': '10749542400000000.cs.144._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044796
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [77607141158826639360000, 1292600836944248832000000, 19, 41841809397328088940800577928005943296000000000, 81591529514667418680277752503661147676331471306, 166406058516257096569696191107241245283172215025, 107, 17988815623552244375224320000000, 1569439845726593236497489671748373708800000000, 384142422343680000, 506519820398592000, 6706022400, 733277703291557280067443194919807352788648972916, 1583280, 9462427552413548027707392000000, 88176211200, 735840, 894907976411491696098708459356160000000, 1181202549834004434843459382149120000000], 'label': '10749542400000000.cs.144._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044797
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [925553905533561389232949452724, 14136050605487201336561061618148584622342388, 19160109367, 78680050944439243673543, 21966951140841553702949999304190866036091939245, 26976030648033625936583, 1046045243879677520732161071776999747463459852, 62763086697685649994827998708584957538744325115, 27451243201868900795382414336012, 27527524075349906875455059404724185030800012, 79855161842432028855603, 958048567, 305291636072853647494717491139, 1175091669968996183059, 11292163159565976160631690183, 8946449381299509214353027148379091128, 1046045235204582435282788274756301860955920499, 711374856237363, 126003, 894908003241666075881563117094415616199, 12, 90720, 86411, 1596967369547070522626957343893917098402672548, 526279357393908037629180711951242197, 26058185147031814081643226861772810095, 45360, 41040, 271354601141853418615761098326967055], 'label': '10749542400000000.cs.160._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044798
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [79855143325776389985124, 45360, 14135764056005769252118821576878370287805408, 86404, 12454173364, 925553957237601290306104410762, 83174360225521824993145783381942909779683526998, 26313084020438730238420366654869687630, 11292160911558473925325751040, 321554105876919360739124126908655457179, 77607141158846318383440, 6423309907747220, 42392360111977243334090117265979165060344025048, 79855155419147987245924, 631554482076305781959620300855, 1596967647676329500493594514128244469941309459, 958134964, 52879125147738949468804, 82142450442036970834996846744165307948461752998, 21780300549599433018777721732, 1046046120894730484557845274121740784818397336, 41040, 21778413352365024433228636807, 1073572741387008894492155108299618092552233065, 1046045547795803314506287174356332229521033704, 2248001455555215446403, 90720], 'label': '10749542400000000.cs.160._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044799
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [925553905533561389232949452724, 14136050605487201336561061618148584622342388, 19160109367, 78680050944439243673543, 21966951140841553702949999304190866036091939245, 26976030648033625936583, 1046045243879677520732161071776999747463459852, 27451243201868900795382414336012, 27527524075349906875455059404724185030800012, 79855161842432028855603, 41332550550590712855018365965547563844668273212, 958048567, 305291636072853647494717491139, 1175091669968996183059, 11292163159565976160631690183, 8946449381299509214353027148379091128, 1046045235204582435282788274756301860955920499, 711374856237363, 126003, 894908003241666075881563117094415616199, 12, 90720, 86411, 1596967369547070522626957343893917098402672548, 526279357393908037629180711951242197, 26058185147031814081643226861772810095, 45360, 41040, 271354601141853418615761098326967055], 'label': '10749542400000000.cs.160._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044800
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [18293300676702831630090240000000, 12454041600, 41332550532952714174086886683487449907200000000, 912274611649115469089744848158720086400, 62763086679792762850249495925382893055129726778, 126000, 262518244724822400, 26976017466662584320000, 590465598079208281695237219287040000000, 1941149256871928463360000, 376610218110000, 126011, 180623520000, 83188495676698819361151248590523124940800126000, 119, 11292160911544957796352126000, 753675584495476505172939891003244275594007719033], 'label': '10749542400000000.cs.160._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044801
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [18293300676702831630090240000000, 12454041600, 41332550532952714174086886683487449907200000000, 912274611649115469089744848158720086400, 62763086679792762850249495925382893055129726778, 126000, 262518244724822400, 26976017466662584320000, 753675584495476505172939891003244275594008399433, 590465598079208281695237219287040000000, 1941149256871928463360000, 376610218110000, 126011, 180623520000, 83188495676698819361151248590523124940800126000, 119, 11292160911544957796352126000], 'label': '10749542400000000.cs.160._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044802
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [17366644384274165294627989656389378640, 126000, 1175092046560054789216, 376610218831440, 774596490383746867096310967978602633912953313905, 609776740927461910160791198800, 40809899909339174089353734846534636282348640007, 14135772476227613693260571172977650152422420, 958129203, 26313083715147143621598406604943025212, 11292162086637004362593893204, 806400, 21777741148838159876751446408, 21457691086588534016784389966987760047419075204, 61207410882390203513901044320947859754651904025, 126019, 11292238518686828004115256407, 79855149372442989350416, 83188495694065464061202652675164909535204403290, 1582831623383953727283459606919953643783228823, 126016, 26976018178037441318416, 526261695645178840315516122006518416, 86403, 8691540468758252305904768000326916420, 1060180981877481058719562487866692635492409607, 12973086000], 'label': '10749542400000000.cs.160._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 124044803
    {'ambient': '10749542400000000.cs', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [18293300676702831630090240000000, 12454041600, 41332550532952714174086886683487449907200000000, 912274611649115469089744848158720086400, 62763086679792762850249495925382893055130446778, 126000, 262518244724822400, 26976017466662584320000, 590465598079208281695237219287040000000, 1941149256871928463360000, 376610218110000, 126011, 180623520000, 83188495676698819361151248590523124940800126000, 119, 11292160911544957796352126000, 753675584495476505172939891003244275594007719033], 'label': '10749542400000000.cs.160._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.G', 'subgroup_fusion': None, 'weyl_group': None}