Abstract group data - 105468750.f

Formats: - HTML - YAML - JSON - 2025-10-24T21:20:06.920055

• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[2661115834530808374367613319373691138758087396645949429, 97865529559581810539094482734785415422588079956952696439], [2661115813596511307580620362476847941942331873726230383, 29862376456204294692891194368395147002892707602170241176], [2661115834530807766009136643752664995818377880792445429, 76159213848815512038192248941293362990309292922782155584], [81787873191542008515312091125103921247908546915482290006, 92236870299549476180934513866488281621226821707566883789], [54402522604124538602744097608135379364732025366448666239, 78636239653242652616373108562155822763028318591671939713], [184090069867521254147079839661195156383132495998561135, 97865529559581810539094482734785415422588079956952696439], [8097051051590087233852890111302866508837642418622230389, 103301464755706793851883192035297779482912336893251788189], [2661115813596512488511833572860488893949321321234426703, 106021590073137278957698296080406388868548568789377637846], [2661115773874320494659918916555052725974872120869493806, 97865529580516851860920252223892593604604216387057451606], [2661115792703134723457558939914668740904811628359853999, 103301464797576130147832844900076145587340658857055659575], [2661115792703134723457558939914668740776387612524538799, 100581406324541639503270647622788255971045013594038885815], [2661115813596511915939123280271954744169911057120317423, 97865529538647514080665992695683679027745231418910328406], [2661115855465848819449674036037120029373774213045551375, 95388503773983483277962931477112257865497796535255244823], [2661115855465848515278640254470916529691119561731273615, 103301464755706793244322321551190156642364107908084528599], [5376992639212829063212891204699107630631403239870230383, 100581406364263830620362417019551068469766107900642936406], [184090027998184046449067874764733948218279238978557429, 100581406343370454036239347669892033947557660254943019575], [10817176348086276757983240264369456146324510345957549935, 100581406343370454608812021397659974855400736470576947255], [184090007104805333028835085984283471685161023824636286, 27385350589014441200481285116849340884810116394494514010]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 13500000000, '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': 1, 'central_product': None, 'central_quotient': '105468750.f', 'commutator_count': None, 'commutator_label': '17578125.b', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1'], 'composition_length': 13, 'conjugacy_classes_known': False, 'counter': 6, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': None, 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 30, 'exponents_of_order': [9, 3, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '105468750.f', 'hash': 3709857804485214422, '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': 105468750, 'inner_split': None, 'inner_tex': 'C_5^6.C_{15}^2:D_{15}', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '105468750.f', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C5^6.C15^2:D15', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 22, 'number_conjugacy_classes': None, 'number_divisions': None, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 105468750, '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': 128, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': 45, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': None, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'PC': {'code': '69328859377052287587331988536606847058579847639847082119855709778375857621483924721738173095739333405741400859057669665240020077535972784396125131151385358154183638798008262950974761174714910933218158937591936528120514025549145457802722233720707627935857672267828058532612249949794993491103138243958694131904334931476689586489811445912241338797650631207317971345997823', 'gens': [1, 3, 5, 7, 8, 9, 10, 11, 12, 13], 'pres': [13, -2, -3, -3, -5, -3, -5, 5, -5, 5, 5, 5, 5, 5, 26, 900897674, 2922032648, 47757192, 145, 23871747, 1125306484, 5919696904, 3336477317, 59505, 216889118, 251, 84245, 811901641, 3791986386, 3946003444, 731227802, 21329548, 4494906007, 4563020, 29952033, 101459, 2804402258, 2369271, 1944759409, 52710, 11235510009, 1577306272, 73856285, 124790311, 3538606510, 70463273, 1159908786, 155802137, 9685494011, 5538780024, 2585992537, 114051663, 7628195262, 1821207400, 2716886288, 49153714]}, 'Perm': {'d': 45, 'gens': [2661115834530808374367613319373691138758087396645949429, 97865529559581810539094482734785415422588079956952696439]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 250, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_5^6.C_{15}^2:D_{15}', 'transitive_degree': 45, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [105468750, 6] does not appear in gps_conj_classes
• group 105468750.f does not appear in gps_qchar
• group 105468750.f 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: 6109370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 105468750, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '105468750.f.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': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '105468750.f', 'subgroup_hash': None, 'subgroup_order': 105468750, 'subgroup_tex': 'C_5^6.C_{15}^2:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 6109481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52734375, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 15, 'label': '105468750.f.2.a1.a1', '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': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '52734375.b', 'subgroup_hash': None, 'subgroup_order': 52734375, 'subgroup_tex': 'C_5^8.C_{15}.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 35156250, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.3._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35156250.h', 'subgroup_hash': None, 'subgroup_order': 35156250, 'subgroup_tex': 'C_5^9.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109703
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 17578125, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.3._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 35156250, 'subgroup_tex': 'C_5^8.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10546875, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21093750.d', 'subgroup_hash': None, 'subgroup_order': 21093750, 'subgroup_tex': 'C_5^6.C_{15}^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109925
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 17578125, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.6._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17578125, 'subgroup_tex': 'C_5^9.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6110036
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 17578125, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.6._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17578125.b', 'subgroup_hash': None, 'subgroup_order': 17578125, 'subgroup_tex': 'C_5^2.C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6110147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5859375, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.6._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17578125.b', 'subgroup_hash': None, 'subgroup_order': 17578125, 'subgroup_tex': 'C_5^2.C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6110258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5859375, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.9._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11718750, 'subgroup_tex': 'C_5^8.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.9._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11718750, 'subgroup_tex': 'C_5^9.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.9._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11718750, 'subgroup_tex': 'C_5^8.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10546875, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10546875.b', 'subgroup_hash': None, 'subgroup_order': 10546875, 'subgroup_tex': 'C_5^8.\\He_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^8.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109415
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3515625, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7031250.f', 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^8.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109426
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109437
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3515625, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109482
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031250, 'subgroup_tex': 'C_5^7.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5859375, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5859375, 'subgroup_tex': 'C_5^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5859375, 'subgroup_tex': 'C_5^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109515
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5859375, 'subgroup_tex': 'C_5^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5859375, 'subgroup_tex': 'C_5^9.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.25.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4218750.f', 'subgroup_hash': None, 'subgroup_order': 4218750, 'subgroup_tex': 'C_5^7:\\He_3:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109548
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1953125, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '105468750.f.27.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.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': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3906250, 'subgroup_tex': 'C_5^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3515625, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109570
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3515625, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3515625.b', 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1171875, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3515625.b', 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109604
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109626
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109637
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109648
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109670
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.30._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3515625, 'subgroup_tex': 'C_5^8.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109681
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109692
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109704
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109726
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109737
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109748
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109759
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109770
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109781
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109792
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109803
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109815
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109826
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1171875, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109837
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109848
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109859
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109870
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109881
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109892
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109903
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109914
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109926
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109937
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109981
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109992
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110014
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110070
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110081
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110092
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110136
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^8.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110192
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110236
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.45._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45.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': 45, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2343750, 'subgroup_tex': 'C_5^7.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.50.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2109375.b', 'subgroup_hash': None, 'subgroup_order': 2109375, 'subgroup_tex': 'C_5^7:\\He_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110259
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1953125, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '105468750.f.54.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '54.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1953125, 'subgroup_tex': 'C_5^9', 'supersolvable': True, 'sylow': 5}
  • id: 6110270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 703125, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110281
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.f', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.j', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:C_3^2:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.e', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 6110299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^6.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.75._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75.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': 75, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1406250.j', 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7:C_3^2:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109373
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1171875, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '90.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '90.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 90, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109376
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109380
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109391
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109397
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109398
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109402
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109403
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109409
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109412
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109414
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109416
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109417
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109418
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109419
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109420
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109421
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109424
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109425
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109427
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109428
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109430
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109431
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109432
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109433
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109434
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109435
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109436
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109438
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109439
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109440
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109441
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109447
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109449
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109451
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.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': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109465
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109469
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109473
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109474
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109476
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109479
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109480
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109483
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109485
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109487
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109490
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109497
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109499
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109508
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109509
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109510
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109511
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109512
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109513
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109516
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109517
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109518
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109519
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109528
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109530
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109536
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109538
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109539
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109540
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109541
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109542
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109543
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109545
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109546
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109547
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109549
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109550
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109552
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109553
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109554
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109555
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109560
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109561
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109564
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109565
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109566
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109567
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109568
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109569
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109571
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109572
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109573
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109576
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109577
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109578
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109579
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.90._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 90, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1171875, 'subgroup_tex': 'C_5^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.125.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '125.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': 125, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '843750.d', 'subgroup_hash': None, 'subgroup_order': 843750, 'subgroup_tex': 'C_5^6:\\He_3:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6109582
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109589
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109591
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109594
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109597
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109598
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109599
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109600
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109602
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109603
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109605
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109606
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109607
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109608
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109609
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109610
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109611
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109613
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109614
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109616
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109617
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109618
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109619
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109620
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109621
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109622
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109623
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109624
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109625
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109627
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109628
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109629
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109630
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109631
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109632
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109633
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109634
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109635
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109636
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109638
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109639
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109640
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109641
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109642
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109643
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109644
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109645
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109646
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109647
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109649
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109650
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109651
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109652
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109653
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109654
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109655
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109661
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109664
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109665
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109666
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109667
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109669
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109671
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109672
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 390625, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.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': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109673
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109674
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109675
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109676
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109677
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109678
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109679
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109680
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109682
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109683
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109684
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109685
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109686
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109687
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109688
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109689
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109690
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109691
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109693
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109694
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109695
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109698
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109699
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109700
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109701
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109702
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109708
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109709
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109710
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109712
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109714
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109718
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109721
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109722
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109723
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109724
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109725
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109727
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109728
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109729
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109730
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109731
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109732
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109733
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109734
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109735
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109736
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109738
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109739
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109740
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109741
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109742
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109743
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109744
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109745
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109746
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109747
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109750
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109751
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109752
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109753
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109754
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109755
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109756
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109757
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109758
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109760
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109761
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109762
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109763
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109764
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109765
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109766
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109767
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109769
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109771
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109772
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109773
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109774
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109775
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109776
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109777
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109778
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109779
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109780
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109782
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109784
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109785
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109786
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109787
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109788
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109789
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109795
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109796
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109797
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109798
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109799
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109800
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109801
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109802
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109804
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109805
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109806
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109807
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109808
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109811
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109812
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109813
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109817
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109818
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109819
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109821
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109822
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109823
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109824
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109825
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109827
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109828
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109829
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109830
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109831
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109832
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109833
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109834
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109835
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109836
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109838
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109839
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109840
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109841
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109842
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109843
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109844
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109845
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109846
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109847
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109849
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109850
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109851
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109852
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109853
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109854
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109855
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109856
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109857
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109858
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109860
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109861
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109865
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109866
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109867
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109868
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109869
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109872
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109873
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109874
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109875
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109877
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109878
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109879
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109880
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109883
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109884
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109885
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109886
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109888
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109889
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109890
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109891
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109893
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109894
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109895
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109896
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109897
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109899
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109900
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109901
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109902
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109904
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109905
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109906
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109907
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109908
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109909
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109910
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109911
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109912
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109913
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109915
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109916
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109917
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109918
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109919
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109920
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109921
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109922
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109923
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109924
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109927
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109928
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109930
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109932
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109933
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109934
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109935
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109936
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109938
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109945
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109946
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109947
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109949
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109950
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109955
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.135._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 6109956
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 703125, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '150.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '150.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109960
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109962
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.150._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '703125.b', 'subgroup_hash': None, 'subgroup_order': 703125, 'subgroup_tex': 'C_5^7:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6109972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 234375, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6109979
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109983
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109986
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109989
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109990
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109995
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109998
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6109999
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110001
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110009
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110010
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110012
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110013
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110020
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110021
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110026
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110029
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110031
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110038
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110042
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110043
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110044
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110046
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110050
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110051
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110052
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110054
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110055
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110057
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110058
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110060
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110061
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110062
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.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': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110066
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110069
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110072
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110073
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110076
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110077
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110082
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110083
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110084
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110085
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110088
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110105
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110124
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110127
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110133
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110138
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110149
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110150
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110155
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110174
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46875, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110230
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110237
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110242
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110260
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110261
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110265
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110272
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110273
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110276
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^6.C_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 6110277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.225._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '225.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 468750, 'subgroup_tex': 'C_5^7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 6110278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 140625, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.250.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '250.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': 250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '421875.b', 'subgroup_hash': None, 'subgroup_order': 421875, 'subgroup_tex': 'C_5^6:\\He_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110279
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 390625, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.270._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '270.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '270.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 270, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:D_{15}', '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': 0}
  • id: 6110280
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 234375, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.450._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '450.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '450.20', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 450, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times C_5^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 234375, 'subgroup_tex': 'C_5^7.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 140625, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.750._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '750.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '750.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^2:D_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140625.b', 'subgroup_hash': None, 'subgroup_order': 140625, 'subgroup_tex': 'C_5^6:C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 6110283
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78125, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.1350._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1350.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1350.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1350, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{15}^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78125.34297', 'subgroup_hash': None, 'subgroup_order': 78125, 'subgroup_tex': 'C_5^7', 'supersolvable': True, 'sylow': 0}
  • id: 6110284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46875, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.2250._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2250.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2250.j', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2250, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times C_5^2:D_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 46875, 'subgroup_tex': 'C_5^6:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 6110285
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15625, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.6750._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '6750.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6750.f', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{15}^2:D_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 6110286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 125, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.15625._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15625.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': 15625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6750.f', 'subgroup_hash': None, 'subgroup_order': 6750, 'subgroup_tex': 'C_{15}^2:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 6110287
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 125, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.843750._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '843750.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '843750.d', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 843750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6:\\He_3:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': None, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 6110288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '105468750.f.3906250.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3906250.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': 3906250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': None, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 3}
  • id: 6110289
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '105468750.f.4218750._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4218750.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4218750.f', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 4218750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^7:\\He_3:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 6110290
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5, 'counter': 928, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '105468750.f.21093750._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '21093750.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '21093750.d', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 21093750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6.C_{15}^2:S_3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 6110291
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 929, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '105468750.f.52734375.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '52734375.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': 52734375, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 6110293
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '105468750.f', 'ambient_counter': 6, 'ambient_order': 105468750, 'ambient_tex': 'C_5^6.C_{15}^2:D_{15}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 930, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '105468750.f.105468750.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '105468750.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '105468750.f', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 105468750, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6.C_{15}^2:D_{15}', '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: 6109374
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142610113516864, 647475510142167658801953, 41869336903510541630894504736264311415701299200, 816570, 8156060555424805626301852750471036084983977140224000064, 9157944981057054286200864768033, 32578253219057901637007088555168026513491713495559496913, 1180931205316361544447528725123658341760, 93924639360], 'label': '105468750.f.90._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109370
    {'ambient': '105468750.f', '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': [2661115834530808374367613319373691138758087396645949429, 97865529559581810539094482734785415422588079956952696439], 'label': '105468750.f.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: 6109371
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 1209664, 64, 187769443680, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.9._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109372
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [184090007104808974063330428141156281742665737757001055, 8156060513555468419401437819950770311344169794937443770, 8156060513555468722791320244448486747395373061558476896, 70723278713347753291242704959108374363690626473979730000, 2720125378087717580534909838956977603064268280898736576, 8156060513555468722791320244449134222905515135293048416, 41869336903510569070846163843056109219520307290, 27385350628736634151900496655128476110507981365743314096, 10633086320088836429004949303019240968296436551996005824, 81591528628977243768567507549826850406433584570], 'label': '105468750.f.75._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109373
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.90._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109375
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1938901639559075809067553, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109376
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 187769443680, 5440183729808487870669589802271958685962783948800000000, 13784720569671419111009844212464935117446965990327804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 647475638566251991104000], 'label': '105468750.f.90._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109377
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 13784720630327906990717556930361989134025852031927804255, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 1209690], 'label': '105468750.f.90._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109378
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720590605715569438325126694072061583367705527804255, 384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376], 'label': '105468750.f.90._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109379
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720548736378665927783495800862174414262604727804255, 1294849095206314901708250, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109380
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 13784720548736378665927783495800218122254052266164774335, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109381
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 13784720630327906990717556930361989134025852031927804255, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109382
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142610113516864, 1180931231525464538349410680832876952960, 2661115773874322614755753737387019136050368801475398399, 41869337815258891606142586765674723362333488570, 647475510142167658801953, 96, 816570, 32578253219057901637007088555168026513491713215343560913, 8156060513555468722791320244448486747395372993061248090, 9157943146738957495410764678400, 93924639360], 'label': '105468750.f.9._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109383
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720630327908807423573037468782502077950097771391909, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109384
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720630327908807423573037468782502077950097771391909, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209690], 'label': '105468750.f.90._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109385
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600, 647475638566251991104000], 'label': '105468750.f.90._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109386
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 1209600, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.90._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109387
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 13784720548736380482633799602907655542466360670571391909, 1209664], 'label': '105468750.f.90._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109388
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720590605717386144341233800865429635465771371391909, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 1294849095206314901708250, 1209664], 'label': '105468750.f.90._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109389
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209696, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109390
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13784720590605715569438325126694072061583367705527804255, 384142702560024960, 1180931196158417210865984580996527736320, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209633], 'label': '105468750.f.90._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109391
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708250, 13784720569671419111009844212464935117446965990327804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600], 'label': '105468750.f.90._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109392
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 13784720630327906990717556930361989134025852031927804255, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600], 'label': '105468750.f.90._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109393
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '10.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': [18315079710452993314897676075610, 911748368290328436534718305621984432480, 280215936090, 647475510142073734329633, 1209664, 3346064862506535127679751462523174914576, 62499572756059135557141634937377833369957525489722113135, 256806323085720993, 8156060555424804714553484460142599550906620731655148864, 62762714095992142569144013630966410609554021856, 84323909338761214881961080057659922676807559324832355735], 'label': '105468750.f.10.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109394
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13784720590605715569438325126694072061583367705527804255, 1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 1209696, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109395
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209633, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.90._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109396
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209696, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.90._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109397
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720548736378665927783495800862174414262604727804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209690], 'label': '105468750.f.90._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109398
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 13784720548736378665927783495800862174414262604727804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600], 'label': '105468750.f.90._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109399
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 13784720630327906990717556930361989134025852031927804255, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209633, 647475638566251991104000], 'label': '105468750.f.90._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109400
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13784720590605715569438325126694072061583367705527804255, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600, 647475638566251991104000], 'label': '105468750.f.90._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109401
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1938901255416653464752570, 10633086320088835517256563960722536504439681675858225953, 1209664, 304187505701052521230568132046295345920, 93924639360, 9157944981057054286549578749370, 97865529580516850679989063992574284967630988542972108279, 384142422344889600, 41869336903510569070844224941673356747013939200], 'label': '105468750.f.90._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109402
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 13784720611499092761919916907001729066423177548727804255, 1209600], 'label': '105468750.f.90._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109403
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 13784720569671419111009844212464935117446965990327804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209690], 'label': '105468750.f.90._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109404
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 64, 187769443680, 1294849095206314901708193, 3953625742147779310913398283286540469680, 5440183729808487870669589802271958685962783948800000000, 2661115792703134723457540624838192038620275642293309429, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.15._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109405
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 5440183729808487870669589802271958685962783948800000000, 13784720548736378665927783495800862174414262604727804255, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 1209633], 'label': '105468750.f.90._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109406
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109407
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 608358494990699441746864850785719686433, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109408
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109409
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 304187470334004546271888696296875184513, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109410
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109411
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1209664, 64, 187769443680, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109412
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109413
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424], 'label': '105468750.f.90._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109414
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109415
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [280215936090, 384142422344496513, 9157943146738957495665554822400, 304187505701052521230568132046295345920, 1451553, 62499572756059135557141634937377833369957525489722113135, 647475766948396819248576, 8156060555424804714553484460142599550906620731655148864, 62762714095992142569144013630966410609554021856, 2661115813596514036035003823063452000163667844107078309, 84323909338761214881961080057659922676807559324832355735], 'label': '105468750.f.15._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109416
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109417
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109418
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 1209664, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109419
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109420
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 1209664, 608358494990701380647863460674937443744, 187769443680, 13784720611499093066107387241004983810256290838120339775, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433], 'label': '105468750.f.90._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109421
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 1209664, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109422
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1209664, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109423
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109424
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 911748349975249376878248812218664505664, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109425
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 911748349975249376878248812218664505664, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109426
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209696, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.15._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109427
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1209664, 1294849095206314901708193, 187769443680, 911748349975249376878248812218664505664, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 384142702560024960, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.90._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109428
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109429
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1180931196158417210865984580996527736384, 911748349975250563823274151415244203553, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109430
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1209664, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109431
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109432
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109433
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 1209664], 'label': '105468750.f.90._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109434
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 1209664], 'label': '105468750.f.90._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109435
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109436
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13784720611499093673668266882247872194348399231329153215, 64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 1209664], 'label': '105468750.f.90._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109437
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 13784720590605717386144341233800865429635465771371391909, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 1294849095206314901708250, 3953625742147779310913398283355037698480, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209633], 'label': '105468750.f.15._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109438
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [647475510142261501747233, 1294848838399991815987200, 1180931205316361544447528725123658341760, 9157944981057054286200864768033, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 96, 32578253219057900456075892396751463123017274572766332113, 647475894284776293552570], 'label': '105468750.f.90._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109439
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142610113516864, 816544, 41869336903510541630894504736264311415701299200, 32578253219057901637007088555168026513491713215343560913, 8156060555424805626301852750471036084983977140224000064, 647475510142261501747233, 9157944981057054286200864768033, 1294848838399991815987200, 1180931205316361544447528725123658341760], 'label': '105468750.f.90._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109440
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [647475510142261501747233, 1294848838399991815987200, 1180931205316361544447528725123658341760, 1451520, 9157944981057054286200864768033, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 384142610113516864, 32578253219057900456075892396751463123017274572766332113], 'label': '105468750.f.90._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109441
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [409050, 647475510142261501747233, 1294848838399991815987200, 1180931205316361544447528725123658341760, 9157944981057054286200864768033, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 384142610113516864, 32578253219057900760263362730755361919139022541319496913], 'label': '105468750.f.90._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109442
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142610113516864, 1209633, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 32578253219057901064434387387450904869625318941475266513, 647475510142261501747233, 9157944981057054286200864768033, 1294848838399991815987200, 1180931205316361544447528725123658341760], 'label': '105468750.f.90._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109443
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142610113516864, 96, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 647475510142261501747233, 9157944981057054286200864768033, 1294848838399991815987200, 1180931205316361544447528725123658341760, 32578253219057901367824242371999545152427686868110869713], 'label': '105468750.f.90._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109444
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1209664, 64, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109445
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109446
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 304187470334004546271888696296875184513, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109447
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 13784720611499093066107387241004983810256290838120339775, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109448
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [280215936090, 384142422344496513, 9157943146738957495665554822400, 304187505701052521230568132046295345920, 2661115834530808374367613319373691138758087396645949429, 3346064862506535127679751462523174914576, 1451553, 21697681632985515535601272801217687961427360496503679966, 647475766948396819248576, 8156060555424804714553484460142599550906620731655148864, 62762714095992142569144013630966410609554021856], 'label': '105468750.f.15._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109449
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931196158418502291986661364337542433, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109450
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109451
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109452
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109453
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109454
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 911748349975250563823274151415244203553, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 384142702560024960, 9157943146738957495316841899520, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109455
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109456
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109457
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109458
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109459
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600, 647475638566251991104000], 'label': '105468750.f.15._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109460
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109461
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424], 'label': '105468750.f.90._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109462
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424], 'label': '105468750.f.90._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109463
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 304187470334006380589728680671522079424, 13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109464
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 187769443680, 1180931196158418502291986661364337542433, 13784720611499092761919916907001729066423177548727804255, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.90._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109465
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 304187470334006380589728680671522079424, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775], 'label': '105468750.f.90._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109466
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775], 'label': '105468750.f.90._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109467
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109468
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109469
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109470
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [1938901639559075809067553, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720630327908807423573037468782502077950097771391909, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209690], 'label': '105468750.f.15._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109471
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109472
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109473
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109474
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109475
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499093673668266882247872194348399231329153215, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109476
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 1209664], 'label': '105468750.f.90._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109477
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109478
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109479
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109480
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1294849095206314901708193, 13784720611499093066107387241004983810256290838120339775, 187769443680, 5440183729808487870669589802271958685962783948800000000, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109481
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1938901512222696333721050, 54586611732467232943108138375953285381388608239116854446, 486580401635328096, 41869336903510559945971625491221582122689516864, 2720125378087717580534928120964306449582407234785586016, 9157943794111927596729852720570, 64, 1451553, 608358522430651751649950695564182508800, 62762718049617875558980177805407198299037698544, 103301464715984600024501149899218431241971589927526019709, 348713164896], 'label': '105468750.f.2.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109482
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 64, 187769443680, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 647475638566251990303360, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.15._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109483
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 911748349975249376878248812218663705024, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 608358494990699441746864850785719686433, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109484
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109485
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1294849095206314901708193, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109486
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499093942851113065418835349121796608058483135, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109487
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109488
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109489
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 9157943146738957495316841899520, 13784720611499093066107387241004983810256290838120339775, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109490
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 1180931196158418502291986661364337542433, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109491
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109492
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 13784720611499093942851113065418835349121796608058483135, 911748349975250563823274151415244203553, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 384142702560024960, 9157943146738957495316841899520, 608358494990701380647863460674937443744], 'label': '105468750.f.90._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109493
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909, 187768627296], 'label': '105468750.f.18._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109494
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109495
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 911748349975249376878248812218664505664, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109496
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109497
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109498
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975249376878248812218663705024, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 911748349975249376878248812218664505664, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109499
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 911748349975249376878248812218663705024, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433, 13784720611499093942851113065418835349121796608058483135, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109500
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1294849095206314901708193, 187769443680, 13784720611499093942851113065418835349121796608058483135, 911748349975249376878248812218664505664, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.90._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109501
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 911748349975249376878248812218664505664, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109502
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433, 911748349975249376878248812218664505664, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109503
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1180931196158417210865984580996527101344, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 304187470334004546271888696296875184513, 911748349975249376878248812218664505664, 384142702560024960, 9157943146738957495316841899520], 'label': '105468750.f.90._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109504
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499092761919916907001729066423177548727804255, 187768627296], 'label': '105468750.f.18._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109505
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 911748349975249376878248812218664505664, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109506
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 187769443680, 1180931196158418502291986661364337542433, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.90._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109507
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109508
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 608358494990699441746864850785719686433, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109509
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931196158418502291986661364337542433, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109510
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 1180931196158417210865984580996527101344, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 13784720611499093066107387241004983810256290838120339775], 'label': '105468750.f.90._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109511
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1180931196158417210865984580996527736384, 187769443680, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158418502291986661364337542433, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109512
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109513
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109514
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 1294849095206314901708193, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109515
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1209664, 1180931205316361544447528725123658341760, 32578253219057901637007088555168026513491713215343560913, 9157944981057054286200864768033, 93924230433, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 384142610113516864, 647475510142167658801953, 96], 'label': '105468750.f.18._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109516
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109517
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109518
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109519
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109520
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 608358494990701380647863460674937443744, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109521
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109522
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 608358494990701380647863460674937443744, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109523
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1209664, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433], 'label': '105468750.f.90._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109524
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 608358494990701380647863460674937443744, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109525
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109526
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1938901255416653464752570, 304187497773956208699336016737505344096, 90, 1209664, 18315080354504923750785024816544, 8156060513555468722791320244448486747522708812104889690, 20935041626013256875081283809017284382127736416, 73443337023199194890918526738823805471092291295148908250, 128424272102622816, 348713164896], 'label': '105468750.f.18._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109527
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 1209664, 608358494990701380647863460674937443744, 187769443680, 13784720611499093066107387241004983810256290838120339775, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109528
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 608358494990701380647863460674937443744, 187769443680, 304187470334006380589728680671523121984, 13784720611499093066107387241004983810256290838120339775, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433], 'label': '105468750.f.90._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109529
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 608358494990701380647863460674937443744, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109530
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109531
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 1294849095206314901708193, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109532
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499092761919916907001729066423177548727804255, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 608358494990701380647863460674937443744, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109533
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 911748349975250563823274151415244203553, 384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109534
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 608358494990701380647863460674937443744, 1294849095206314901708193, 13784720611499093066107387241004983810256290838120339775, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109535
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433], 'label': '105468750.f.90._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109536
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 608358494990701380647863460674937443744, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433], 'label': '105468750.f.90._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109537
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '25.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': 25, 'diagramx': None, 'generators': [62762718318800686375103166000783759051877130224, 2661115834530807766009101276705984885592153255787722229, 106021590094072317873421255204839469789459871498149758743, 2720125378087717883924783105511651883802093883072307264, 8156060555424804714553484460142599550778238492902380833, 2720125378087718153107611006672912302033705503016505664, 8156060555424804714553484460142599550906620637810752033, 5440183750701865063151181582579615691186736494560025056, 57063637538999856966058025531598284616492707855639094415, 2720125378087717883924773980640991334351063433479148833, 8156060595146997316763939862180576861907695896249520576], 'label': '105468750.f.25.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109538
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13784720611499093942851113065418835349121796608058483135, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 304187470334004546271888696296875184513, 384142702560024960, 608358494990701380647863460674937443744, 608358494990701380647863460674936627264], 'label': '105468750.f.90._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109539
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109540
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109541
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109542
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109543
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1180931205316360357502760191969949062400, 187769443680, 1180931196158418502291986661364337542433, 911748349975249376878248812218664505664, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 13784720611499093370278411897699879387542753686219052735], 'label': '105468750.f.90._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109544
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 187769443680, 304187470334006380589728680671523121984, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109545
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1294849095206314901708193, 304187470334006380589728680671523121984, 13784720611499093066107387241004983810256290838120339775, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109546
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 608358494990699441746864850785719686433, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109547
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433, 13784720611499093942851113065418835349121796608058483135, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109548
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '27.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': 9, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.27.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109549
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433, 911748349975249376878248812218664505664, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109550
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 5440183729808487870669589802271958685962783948800000000, 13784720611499093066107387241004983810256290838120339775, 187769443680, 304187470334004546271888696296875184513, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109551
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 911748349975250563823274151415244203553, 384142702560024960, 187769443680, 5440183729808487870669589802271958685962783948800000000, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109552
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [608358494990701380647863460674936627264, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 911748349975249376878248812218664505664], 'label': '105468750.f.90._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109553
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 1294849095206314901708193, 911748349975249376878248812218663705024, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109554
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 911748349975249376878248812218663705024, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433], 'label': '105468750.f.90._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109555
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931196158418502291986661364337542433, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109556
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 187769443680, 13784720611499093066107387241004983810256290838120339775, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109557
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 304187470334004546271888696296875184513, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109558
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [647475894284776293552570, 41869336903510541630894504736264311415701299200, 8156060555424805626301852750471036084983977140224000064, 409050, 647475510142261501747233, 9157944981057054286200864768033, 1294848838399991815987200, 1180931205316361544447528725123658341760, 32578253219057901367824242371999545152427686868110869713], 'label': '105468750.f.90._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109559
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909, 187768627264], 'label': '105468750.f.30._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109560
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [647475894284776293552570, 1209633, 41869336903510541630894504736264311415701299200, 32578253219057901637007088555168026513491713215343560913, 8156060555424805626301852750471036084983977140224000064, 647475510142261501747233, 9157944981057054286200864768033, 1294848838399991815987200, 1180931205316361544447528725123658341760], 'label': '105468750.f.90._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109561
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [911748349975250563823274151415244203553, 384142702560024960, 13784720611499093673668266882247872194348399231329153215, 1180931196158417210865984580996527736384, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109562
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109563
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736384, 5440183729808487870669589802271958685962783948800000000, 187769443680, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433, 13784720611499092761919916907001729066423177548727804255, 1180931196158417210865984580996527101344], 'label': '105468750.f.90._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109564
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 64, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 608358494990699441746864850785719686433, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109565
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 1209664, 64, 187769443680, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1180931205316360357502760191969949062400, 1180931196158418502291986661364337542433, 13784720611499092761919916907001729066423177548727804255], 'label': '105468750.f.90._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109566
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 1294849095206314901708193, 13784720611499093370278411897699879387542753686219052735, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931205316360357502760191969949062400], 'label': '105468750.f.90._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109567
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [304187470334006380589728680671522079424, 13784720611499093673668266882247872194348399231329153215, 1180931205316360357502760191969949062400, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 608358494990699441746864850785719686433, 187769443680, 384142702560024960, 304187470334006380589728680671523121984], 'label': '105468750.f.90._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109568
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [27439952309903085845127177438816, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 18315080354505307893487585067584, 95388503753049186515346989386823016236911483746477688375, 1209664, 304187505701052521230568132046295345920, 93924639360], 'label': '105468750.f.90._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109569
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1938901255416653464752570, 10633086320088835517256563960722536504439681675858225953, 1209664, 27439952309903085845127177438816, 304187505701052521230568132046295345920, 35367048622434446384426455104090, 93924639360, 103301464776641089398563313849408173847930489793819008086, 41869336903510569070844224941673356747013939200], 'label': '105468750.f.90._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109570
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1209664, 41869336903510569070846706735510063783322846816, 1180931205316361544447528725123658341760, 647475638566158067115553, 93924230433, 8156060555424805626301852750471036084983977140224000064, 384142610113516864, 78636239695070319843521208471370851507381594079069122544, 32578253219057901637007088555168026513491713495559496913, 9157944438164344613486821987776], 'label': '105468750.f.30._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109571
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [27439952309903085845127177438816, 9157944981057054286549578749376, 10633086320088835517256563960722536504439681675858225953, 97865529580516850679989082274582800758917660836860108279, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 1209664, 304187505701052521230568132046295345920, 93924639360], 'label': '105468750.f.90._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109572
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1938901255416653464752570, 10633086320088835517256563960722536504439681675858225953, 1209664, 27439952309903085845127177438816, 304187505701052521230568132046295345920, 106021590012480790166242225460165587766939735102824118903, 93924639360, 27439952309903342651450261708160, 41869336903510569070844224941673356747013939200], 'label': '105468750.f.90._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109573
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [27439952309903085845127177438816, 100581406343370453427880834364116658390888214406788281629, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 1209664, 304187505701052521230568132046295345920, 33, 93924639360], 'label': '105468750.f.90._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109574
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [9157944981057054286200865977690, 27439952309903342651450262750753, 103301464797576129843645374566072246790963193086972108279, 35367048622434804540743757087424, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 1209690, 304187505701052521230568132046295345920], 'label': '105468750.f.90._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109575
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [106021590094072318491031998894726714726551324623868108279, 408960, 9157944981057054286200865977690, 27439952309903342651450262750753, 35367048622434804540743757087424, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 304187505701052521230568132046295345920], 'label': '105468750.f.90._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109576
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [95388503794918523418857531017716226124080588686332108279, 1451584, 9157944981057054286200865977690, 27439952309903342651450262750753, 35367048622434804540743757087424, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 304187505701052521230568132046295345920], 'label': '105468750.f.90._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109577
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [9157944981057054286200865977690, 816576, 27439952309903342651450262750753, 35367048622434804540743757087424, 10633086320088835517256563960722536504439681675858225953, 97865529580516850679989082274582800758917660836860108279, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 304187505701052521230568132046295345920], 'label': '105468750.f.90._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109578
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [100581406406133167523872967775317525282897129538556108279, 9157944981057054286200865977690, 27439952309903342651450262750753, 35367048622434804540743757087424, 10633086320088835517256563960722536504439681675858225953, 1938901255416653464752570, 41869336903510569070844224941673356747013939200, 304187505701052521230568132046295345920, 33], 'label': '105468750.f.90._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109579
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [384142702560024960, 5440183729808487870669589802271958685962783948800000000, 304187470334006380589728680671523121984, 187769443680, 41869336903510541630893209887169105100800000090, 304187470334006380589728680671522079424, 1180931196158418502291986661364337542433, 1180931205316360357502760191969949062400, 13784720611499093942851113065418835349121796608058483135], 'label': '105468750.f.90._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109580
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '125.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': 125, 'diagramx': None, 'generators': [348714616320, 62499572795781328159352044617453255149364641750557033615, 3041877364732580756721733786632699881520, 911748377415199097083657857549977145600, 81591528324789782592504273698210928706955051553, 8156060513555468115230440603205598363174882429597062490, 35367050456752543175310479030880, 486580750349702400, 89759844513951157446294310209394682532665583291638065943, 2661115855465848819449664911166459480050079956553706229], 'label': '105468750.f.125.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '125.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '125.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109581
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1938901512222696333721050, 348714616320, 114182036382051546794616615792217075781232023741899507080, 5440183769530679291948821605939875758662074946998885850, 304187488649082961875684366807909144960, 256806417010752000, 48957952595344844147429646641316136755282876015010177170, 20935040445082060716664072943032703734314616416, 409056, 35367050456752543175496771371520], 'label': '105468750.f.30._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109582
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 184090027998186774903425126245862310695008135875398303, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109583
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.135._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109584
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 10817176327151981847077928370304325871973562247875398399, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109585
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 8097051030655793199691296114552898031825057671875398366, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109586
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 5376992639212830879918880198925577073179883399875398335, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109587
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109588
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 5376992639212830879918880198925577073179883399875398335, 348714616320, 2720125317431230273399889130832711649165788958127736320, 1294849095206407349424513, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035094555529967008124782644373291520, 187768627296, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109589
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1294849095206407349424513, 2661115813596513731847507279954077507810732468931398309, 608358494990701380647863460581092639360, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 348713981376, 1180931196158417210866113005080858828800, 18315079710452635158580373291520], 'label': '105468750.f.135._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109590
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1294849095206407349424513, 608358494990701380647863460581092639360, 1209696, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 1180931196158417210866113005080858828800, 18315079710452635158580373291520, 2661115813596513124286653847815369970369113287363398309], 'label': '105468750.f.135._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109591
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1294849095206407349424513, 608358494990701380647863460581092639360, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 1180931196158417210866113005080858828800, 93925682016, 18315079710452635158580373291520], 'label': '105468750.f.135._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109592
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1938901512222696333721050, 54586611732467232943108138375953285381388608239116854446, 41869336903510559945972920339804263494880950970, 348714616320, 608358504148644422803432556330160192000, 64, 486580495559558400, 2720125378087717580534936048061266354142780460181291584, 2661115773874322614755753737387019136050368801475398399, 103301464715984600024501149899218431241971589927526019709, 348713164896, 9157943146738727721518506368000], 'label': '105468750.f.3._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109593
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 13784720590605717386144341233800865429635465771371391909, 187768627233, 5440183729808487870669589802271958685962783948800000000, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1294849095206407349424570], 'label': '105468750.f.30._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109594
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1294849095206407349424513, 608358494990701380647863460581092639360, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596513427676517990306509516132254149315398309, 20935040445082060716664072943032703385600000096, 1180931196158417210866113005080858828800, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109595
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 8097051030655793199691296114552898031825057671875398366, 5440183729808487870669608117351669138597942529173291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035076240450256555489624251768627296, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.135._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109596
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808487870669608117351669138597942529173291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972415500783181208149368627296, 5376992639212830879918880198925577073179883399875398335, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.135._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109597
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669608117351669138597942529173291520, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 184090027998186774903425126245862310695008135875398303, 2720125317431229092468692972415500783181208149368627296, 5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109598
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 1180931196158417210865984580996527736320, 10633086380745323396964276678619590520890143726968627296, 5440183729808487870669608117351669138597942529173291520, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.135._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109599
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 5440183708874191412241108888042821741826382233600000033, 5440183729808487870669589802273253535057990356149424513, 128424084332952960, 10817176327151981847077928370304325871973562247875398399, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669608117351669138597942529173291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109600
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 348714616320, 2720125317431230273399889130832711649165788958127736320, 10817176327151981847077928370304325871973562247875398399, 1294849095206407349424513, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783309632045932952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109601
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 348714616320, 2720125317431230273399889130832711649165788958127736320, 1294849095206407349424513, 8097051030655793199691296114552898031825057671875398366, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109602
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 128424084332952960, 1294849095206127134123553, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376, 304187470334006380589728680577597440000], 'label': '105468750.f.135._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109603
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 348714616320, 2720125317431230273399889130832711649165788958127736320, 1294849095206407349424513, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109604
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [348714616320, 3953625742147779310913398283355037698570, 1180931196158417210865984580996527736320, 2481794093513453318450016, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 187768627290, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.30._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109605
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 184090027998186774903425126245862310695008135875398303, 2720125317431229092468692972415500783181208149368627296, 348714616320, 2720125317431230273399889130832711649165788958127736320, 1294849095206407349424513, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109606
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208149368627296, 8156060576318181907035076240451551404584830471349424513, 348714616320, 10633086380745323396964294993699300973525302119573291520, 10817176327151981847077928370304325871973562247875398399, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320], 'label': '105468750.f.135._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109607
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240451551404584830471349424513, 348714616320, 10633086380745323396964294993699300973525302119573291520, 8097051030655793199691296114552898031825057671875398366, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109608
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 2720125317431230273399889130832711649165788958127736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109609
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240451551404584830471349424513, 5376992639212830879918880198925577073179883399875398335, 348714616320, 10633086380745323396964294993699300973525302119573291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109610
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958685962784136568627296, 184090027998186774903425126245862310695008135875398303, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109611
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 348714616320, 10633086380745323396964294993699300973525302119573291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 187768627296], 'label': '105468750.f.135._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109612
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 8156060576318181907035076240451551404584830471349424513, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 10633086380745323396964294993699300973525302119573291520, 2720125317431230273399889130832711649165788958127736320, 10817176327151981847077928370304325871973562247875398399, 5440183729808487870669589802271958685962783948800000064, 187768627296], 'label': '105468750.f.135._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109613
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8097051030655793199691296114552898031825057671875398366, 10633086380745323396964294993699300973525302119573291520, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035076240450256555489624251768627296, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109614
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 5376992639212830879918880198925577073179883399875398335, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109615
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2481794093513453318450016, 3953625742147779310913398283355037698576, 128424084332952960, 187768627233, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.30._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109616
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964294993699300973525302119573291520, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035076240451551404584830471349424513, 8156060576318183087966272398867467421474205060527736320, 184090027998186774903425126245862310695008135875398303, 8156060576318181907035076240450256555489624251768627296, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.135._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109617
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 2720125317431230273399889130832711649165788958127736320, 5440183729808487870669589802271958685962783948800000064, 184090027998186774903425126245862310695008135875398303, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678619590521018567623532952960, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109618
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8097051030655793199691296114552898031825057671875398366, 5440183729808487870669589802271958685962783948800000064, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109619
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109620
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318183087966272398867467421474205060527736320, 8156060576318181907035076240450256555489624251768627296, 5376992639212830879918880198925577073179883399875398335, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109621
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972415500783181208149368627296, 10633086380745324577895472837036801386874724535727736320, 18315079710452635158580373291520, 5376992639212830879918880198925577073179883399875398335, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109622
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 184090027998186774903425126245862310695008135875398303, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109623
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109624
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208149368627296, 5440183729808487870669589802271958685962784297514616320, 2720125317431230273399889130832711649165788958127736320, 10817176327151981847077928370304325871973562247875398399, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 10633086380745323396964276678619590521018567623532952960], 'label': '105468750.f.135._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109625
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 5440183708874191412241108888042821741826382233600000033, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 10817176327151981847077928370304325871973562247875398399, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109626
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 348714616320, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 647475638566506779237760, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627264], 'label': '105468750.f.30._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109627
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 184090027998186774903425126245862310695008135875398303, 2720125317431229092468692972415500783181208310314616320, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958686091208033132952960, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109628
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 8097051030655793199691296114552898031825057671875398366, 2720125317431230273399889130832711649165788958127736320, 10633086380745323396964276678619590520890143726968627296, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678619590521018567623532952960, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109629
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [10633086380745323396964276678619590520890143726968627296, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109630
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972415500783181208310314616320, 10817176327151981847077928370304325871973562247875398399, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958686091208033132952960, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109631
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 2720125317431230273399889130832711649165788958127736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958685962784136568627296, 5376992639212830879918880198925577073179883399875398335, 10633086380745323396964276678619590521018567623532952960, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109632
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958685962784136568627296, 184090027998186774903425126245862310695008135875398303, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109633
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8097051030655793199691296114552898031825057671875398366, 5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958685962784136568627296, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109634
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [8097051030655793199691296114552898031825057671875398366, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318183087966272398867467421474205060527736320, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109635
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 2720125317431230273399889130832711649165788958127736320, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590521018567623532952960, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109636
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962783948800000064, 10817176327151981847077928370304325871973562247875398399, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320, 187768627296], 'label': '105468750.f.135._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109637
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 3346064862506535127679751462803390034090, 18315079710452635158580373291520, 13784720569671420927715869477514227748332500890830881189, 187768627296], 'label': '105468750.f.30._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109638
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240450256555618048148332952960, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678619590520890143887914616320, 5376992639212830879918880198925577073179883399875398335, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109639
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 1294849095206127134123553, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 2661115813596512855103798507510972268597525277379398309, 93925682016, 304187470334006380589728680577597440000], 'label': '105468750.f.135._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109640
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [280216345056, 1180931214473496917895526613631206380800, 1294849095206127134123553, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 2661115813596513124286653847815369970369113287363398309], 'label': '105468750.f.135._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109641
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 128424084332952960, 1294849095206127134123553, 1209696, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596513427676517990306509516132254149315398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000], 'label': '105468750.f.135._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109642
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [2661115813596513731847507279954077507810732468931398309, 1180931214473496917895526613631206380800, 128424084332952960, 1294849095206127134123553, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 187768627296], 'label': '105468750.f.135._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109643
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1294849095206407349424513, 280216345056, 608358494990701380647863460581092639360, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 1180931196158417210866113005080858828800, 2661115813596512855103798507510972268597525277379398309, 18315079710452635158580373291520], 'label': '105468750.f.135._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109644
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109645
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109646
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109647
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109648
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [348714616320, 647475638566251990303424, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720569671420927715869477514227748332500890830881189], 'label': '105468750.f.30._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109649
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109650
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109651
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109652
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109653
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109654
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109655
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109656
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109657
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109658
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109659
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 3953625742147779310913398283355037698570, 1180931196158417210865984580996527736320, 128424084332952960, 187768627233, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.30._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109660
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109661
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109662
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 187768627296], 'label': '105468750.f.135._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109663
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109664
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109665
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109666
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109667
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109668
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109669
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109670
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909, 187768627296], 'label': '105468750.f.30._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109671
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109672
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627264], 'label': '105468750.f.135._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109673
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 187768627290, 2661115813596514036034985541054936208492853127875398309, 1938901639558983361516833, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109674
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 187768627200, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 647475638566506779237760, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109675
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2481794093513453318450016, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109676
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 187768627233, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1294849095206407349424570], 'label': '105468750.f.135._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109677
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 647475638566251990303424, 1180931196158417210865984580996527736320, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109678
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109679
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 10633086380745323396964276678619590520890143726968627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109680
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109681
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 64, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115792703135662622197602330715813178604710595398309, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.45._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109682
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2720125317431229092468711287495211235816366541973291520, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109683
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2720125317431229092468711287495211235816366541973291520, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109684
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109685
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109686
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 187768627296], 'label': '105468750.f.135._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109687
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109688
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431229092468711287495211235816366541973291520, 10633086380745323396964276678619590520890143726968627296, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109689
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109690
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 8156060576318181907035076240450256555489624412714616320, 187768627296], 'label': '105468750.f.135._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109691
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109692
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9157944981056824512310083788160, 41869336903510569070845519790511756551061708224, 1294849095206221058353984, 1294849095206127133881633, 1180931205316361544447528725123658341760, 32578253219057901637007088555168026513491713215343560913, 2481793863739468612830753, 8156060555424805626301852750471036084983977140224000064, 2481794093513359393977664, 2661115834530809582715116480034696274764585326971718399], 'label': '105468750.f.45._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109693
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109694
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109695
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678619590521018567623532952960, 187768627296], 'label': '105468750.f.135._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109696
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109697
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109698
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109699
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 8156060576318181907035076240450256555489624412714616320, 187768627296], 'label': '105468750.f.135._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109700
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109701
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109702
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 10633086380745323396964276678619590521018567623532952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109703
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1938901512222696333721050, 41869336903510559945972920339804263494880950970, 348714616320, 608358504148644422803432556330160192000, 64, 2661115834530808374367613319373691138758087396645949429, 486580495559558400, 62762718049617875558980177805407198299037698544, 2720125378087717580534936048061266354142780460181291584, 108989133833599617393154181699080557992887054007853953160, 348713164896, 9157943146738727721518506368000], 'label': '105468750.f.3._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109704
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419520000000090, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 20935040445082060716664072943032703385600000033, 2661115773874320494659900601476637122179201355045949519, 9157943146738957495316841899520, 20935044398707802864443383856430986740637698570, 62762714095992133411202161741104121258901708250, 62762714095992133411200866892008914944001209696], 'label': '105468750.f.45._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109705
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 64, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109706
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520], 'label': '105468750.f.135._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109707
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109708
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109709
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109710
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109711
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109712
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109713
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678620885369985349946549424513, 187768627296], 'label': '105468750.f.135._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109714
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109715
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 2720125359258902743378765666952294732157419520000000090, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 20935040445082060716664072943032703385600000033, 41869336903510541630893209887169105100801209600, 9157943146738957495316841899520, 81591532278415515582340437873009872782237698480, 62762714095992133411202161741104121258901708250], 'label': '105468750.f.45._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109716
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109717
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109718
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109719
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 187768627296], 'label': '105468750.f.135._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109720
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 187768627296], 'label': '105468750.f.135._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109721
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 8156060576318181907035094555529967008124782644373291520, 64, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109722
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2720125317431229092468692972415500783181208149368627296, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520], 'label': '105468750.f.135._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109723
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624251768627296, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520], 'label': '105468750.f.135._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109724
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468692972415500783181208149368627296, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109725
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109726
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419520000000090, 384142702560024960, 1180931196158417210865984580996527736320, 20935040445082060716664072943032703385601209633, 187769443680, 41869340857136283778672520800567388455837698544, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455, 9157943146738957495316841899520, 62762714095992133411202161741104121258901708250], 'label': '105468750.f.45._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109727
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109728
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 10633086380745323396964276678619590520890143726968627296, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109729
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109730
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096], 'label': '105468750.f.135._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109731
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 187768627296], 'label': '105468750.f.135._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109732
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109733
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187768627296], 'label': '105468750.f.135._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109734
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296], 'label': '105468750.f.135._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109735
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109736
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 64, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296], 'label': '105468750.f.135._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109737
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419520000000090, 384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 1209664, 187769443680, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000033, 9157943146738957495316841899520, 62762714095992133411202161741104121258901708250], 'label': '105468750.f.45._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109738
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109739
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 64, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296], 'label': '105468750.f.135._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109740
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296], 'label': '105468750.f.135._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109741
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109742
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109743
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 187768627296], 'label': '105468750.f.135._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109744
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624251768627296, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520], 'label': '105468750.f.135._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109745
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 1180931196158417210865984580996527736320, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109746
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 187768627296], 'label': '105468750.f.135._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109747
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624251768627296, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109748
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 64, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 3953625742147779310913398283286540469680, 187769443680, 2661115792703134723457540624838192038620275642293309429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.45._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109749
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468692972415500783181208149368627296, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109750
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109751
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296], 'label': '105468750.f.135._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109752
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035094555529967008124782644373291520, 5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296], 'label': '105468750.f.135._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109753
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 1180931196158417210865984580996527736320, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296], 'label': '105468750.f.135._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109754
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109755
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109756
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 8156060576318181907035094555529967008124782644373291520, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 64, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096], 'label': '105468750.f.135._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109757
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143887914616320, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109758
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 20935040445082060716664072943032703385600000096, 10633086380745324577895472837036801386874724535727736320, 5440183729808487870669589802271958686091208033132952960, 8156060576318181907035094555529967008124782644373291520, 187768627296], 'label': '105468750.f.135._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109759
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419520000000090, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 9157943146738957495316841899520, 62762714095992133411202161741104121258901708250, 81591528324789773434561126959611589427201209690], 'label': '105468750.f.45._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109760
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109761
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109762
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 10633086380745323396964276678619590520890143726968627296, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109763
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109764
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109765
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 187768627296], 'label': '105468750.f.135._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109766
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109767
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109768
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 5440183729808487870669589802271958685962783948800000000, 1294849095206314901708193, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187768627296], 'label': '105468750.f.135._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109769
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109770
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 64, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115813596514036034985541054936208492853127875398309, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 647475638566251990303360, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.45._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109771
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109772
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109773
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109774
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109775
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109776
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109777
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109778
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964276678619590520890143726968627296, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109779
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 2720125317431230273399889130832711649165788958127736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109780
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 187768627296], 'label': '105468750.f.135._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109781
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 13784720590605717386144341233800865429635465771371391909, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115813596514036034985541054936208492853127875398309, 1294849095206314901708250, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 1209633], 'label': '105468750.f.45._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109782
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109783
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109784
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 8156060576318183087966272398867467421474205060527736320], 'label': '105468750.f.135._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109785
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109786
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.135._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109787
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109788
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109789
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109790
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 2720125317431230273399889130832711649165788958127736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109791
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109792
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209696, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115813596514036034985541054936208492853127875398309, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2481794093513708106749376, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.45._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109793
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109794
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109795
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109796
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109797
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 2720125317431230273399889130832711649165788958127736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109798
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 8156060576318183087966272398867467421474205060527736320, 187768627296, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109799
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 8156060576318183087966272398867467421474205060527736320], 'label': '105468750.f.135._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109800
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109801
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.135._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109802
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109803
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115813596514036034985541054936208492853127875398309, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 1209600, 647475638566251991104000], 'label': '105468750.f.45._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109804
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 187768627296], 'label': '105468750.f.135._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109805
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109806
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109866
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109807
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109808
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109809
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109810
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109811
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109812
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964276678619590520890143726968627296, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109813
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109814
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1938901512222696333721050, 486580401635328096, 41869336903510559945971625491221582122689516864, 2720125378087717580534928120964306449582407234785586016, 9157943794111927596729852720570, 2661115834530808374367613319373691138758087396645949429, 1451553, 54586611732467232943108138375953285381388608239117261966, 608358522430651751649950695564182508800, 62762718049617875558980177805407198299037698544, 103301464715984600024501149899220913035578522885283459709, 348713164896], 'label': '105468750.f.5.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109815
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [2661115813596514036034985541054936208492853127875398309, 1209690, 1938901639559075809067553, 187769443680, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 1180931196158417210865984580996527736320, 13784720630327908807423573037468782502077950097771391909], 'label': '105468750.f.45._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109816
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 187768627296], 'label': '105468750.f.135._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109817
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109818
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 10633086380745323396964276678619590520890143726968627296, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109819
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109820
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109821
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109822
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109823
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109824
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513], 'label': '105468750.f.135._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109825
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513, 187768627296], 'label': '105468750.f.135._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109826
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 1294849095206314901708193, 187769443680, 2661115813596514036034985541054936208492853127875398309, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.45._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109827
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109828
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109829
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 2720125317431230273399889130832711649165788958127736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109830
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109831
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109832
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 187768627296], 'label': '105468750.f.135._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109833
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109834
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109835
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109836
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109837
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064001209664, 384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 64, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 10633086380745323396964276678620885369985349854101708193], 'label': '105468750.f.45._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109838
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 2720125317431229092468692972415500783181208310314616320, 128424084332952960, 2720125317431230273399889130832711649165788958127736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 187768627296], 'label': '105468750.f.135._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109839
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320], 'label': '105468750.f.135._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109840
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109841
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109842
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 187768627296], 'label': '105468750.f.135._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109843
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109844
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109845
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109867
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109846
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624412714616320, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109847
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802273253535057990356149424513, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784297514616320, 128424084332952960, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109848
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 2720125317431233046094435120194811696579491316637698576, 187769443680, 2661115834530808374367613319373691138758087396645949429, 8156060576318181907035076240450256555489624064000000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 5440183729808487870669589802271958685962783948801209664, 2720125317431229092468692972416795632276414276501708193], 'label': '105468750.f.45._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109849
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624412714616320, 187768627296], 'label': '105468750.f.135._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109850
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.135._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109851
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109852
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109853
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109854
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320, 187768627296], 'label': '105468750.f.135._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109855
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109856
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520], 'label': '105468750.f.135._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109857
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.135._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109858
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320, 187768627296], 'label': '105468750.f.135._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109859
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 5440183729808487870669589802271958685962783948801209664, 2720125317431229092468692972416795632276414276501708193], 'label': '105468750.f.45._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109860
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109861
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 2661115813596514036034985541054936208492853127875398309, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109862
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431230273399889130832711649165788958127736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109863
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 8156060576318183087966272398867467421474205060527736320, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109864
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 5440183729808487870669589802271958685962784297514616320, 5440183729808489051600785960689169551947364945327736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109865
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678619590520890143887914616320, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 10633086380745324577895472837036801386874724535727736320], 'label': '105468750.f.135._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109868
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 2720125317431230273399889130832711649165788958127736320, 10633086380745323396964276678619590520890143726968627296, 128424084332952960, 64, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109869
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 128424084332952960, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 8156060576318183087966272398867467421474205060527736320, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109870
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2720125317431229092468692972415500783181207961600000064, 5440183729808487870669589802271958685962783948801209664, 2720125317431229092468692972416795632276414276501708193], 'label': '105468750.f.45._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109871
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 348713981376, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 348714616384, 1294849095206127134123553], 'label': '105468750.f.135._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109872
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 1294849095206475847046433, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 187768627296, 348714616384], 'label': '105468750.f.135._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109873
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1209696, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384], 'label': '105468750.f.135._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109874
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 280216345056, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 1294849095206314901708193, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 348714616384], 'label': '105468750.f.135._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109875
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 280216345056, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744], 'label': '105468750.f.135._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109876
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744, 93925682016], 'label': '105468750.f.135._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109877
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376, 187769443744], 'label': '105468750.f.135._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109878
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 187769443744, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 187768627296, 1294849095206127134123553], 'label': '105468750.f.135._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109879
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206475847046433, 1209696, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744], 'label': '105468750.f.135._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109880
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 1209696, 608358494990701380647863460581092639360, 1294849095206127134123553], 'label': '105468750.f.135._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109881
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 64, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 5440183729808487870669589802271958685962783948801209664, 2720125317431229092468692972416795632276414276501708193], 'label': '105468750.f.45._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109882
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280216345056, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206475847046433, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096], 'label': '105468750.f.135._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109883
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 93925682016], 'label': '105468750.f.135._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109884
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 64, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376], 'label': '105468750.f.135._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109885
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206221056902433, 304187470334006380589857104755855030880, 64, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 187768627296], 'label': '105468750.f.135._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109886
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1209696, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096], 'label': '105468750.f.135._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109887
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 280216345056, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 280217145664, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 1294849095206127134123553], 'label': '105468750.f.135._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109888
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206475847046433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 93925682016], 'label': '105468750.f.135._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109889
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 1294849095206407349424513, 1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376], 'label': '105468750.f.135._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109890
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206475847046433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096, 348713981376], 'label': '105468750.f.135._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109891
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 93924639424, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 187768627296], 'label': '105468750.f.135._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109892
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143539200000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 5440183729808487870669589802271958685962783948801209664, 2720125317431229092468692972416795632276414276501708193, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.45._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109893
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1209696, 5440183729808487870669589802271958685962783948800000000, 1294849095206314901708193, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096], 'label': '105468750.f.135._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109894
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206221056902433, 304187470334006380589857104755855030880, 280216345056, 2661115813596514036034985541054936208492853127875398309, 5440183729808487870669589802271958685962783948800000000, 93924639424, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360], 'label': '105468750.f.135._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109895
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [304187470334006380589857104755855030880, 2661115813596514036034985541054936208492853127875398309, 93925682016, 5440183729808487870669589802271958685962783948800000000, 93924639424, 20935040445082060716664072943032703385600000096, 1180931214473496917895526613631206380800, 608358494990701380647863460581092639360, 1294849095206127134123553], 'label': '105468750.f.135._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109896
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1180931214473496917895526613631206380800, 304187470334006380589857104755855030880, 608358494990701380647863460581092639360, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 93925682016], 'label': '105468750.f.135._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109897
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109898
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280216345056, 128424084332952960, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109899
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206475847046433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096, 348713981376, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109900
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1209696, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 93924639424, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109901
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [18315079710452635158580373291520, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 93925682016, 304187470334006380589728680577597440000, 5440183729808487870669589802271958685962783948800000000, 128424084332952960, 1294849095206127134123553, 93924639424], 'label': '105468750.f.135._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109902
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744, 93925682016, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109903
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 1294849095206314901708193, 187769443680, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143539200000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.45._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109904
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206127134123553, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744, 304187470334006380589728680577597440000, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109905
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 280216345056, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109906
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376, 187769443744, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109907
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206475847046433, 1209696, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 187769443744, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109908
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 128424084332952960, 1209696, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109909
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 128424084332952960, 1294849095206475847046433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 93925682016, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109910
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 128424084332952960, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109911
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 280216345056, 128424084332952960, 1294849095206127134123553, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109912
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280217145664, 1294849095206407349424513, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109913
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206127134123553, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 348713981376, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109914
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 1294849095206314901708193, 2720125317431233046094435120194811696579491316637698576, 187769443680, 2661115834530808374367613319373691138758087396645949429, 8156060576318181907035076240450256555489624064000000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.45._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109915
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 1209696, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109916
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206221056902433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 93925682016, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109917
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206475847046433, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 304187470334006380589728680577597440000, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109918
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280216345056, 128424084332952960, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348714616384, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109919
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [280216345056, 128424084332952960, 1294849095206475847046433, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109920
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 64, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 348713981376, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109921
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206127134123553, 1209696, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109922
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 128424084332952960, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 93925682016, 304187470334006380589728680577597440000, 18315079710452635158580373291520], 'label': '105468750.f.135._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109923
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [128424084332952960, 1294849095206221056902433, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 304187470334006380589728680577597440000, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.135._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109924
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972415500783309632045932952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109925
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909, 187768627296], 'label': '105468750.f.6._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109926
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 1294849095206314901708193, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.45._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109927
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109928
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320, 187768627296], 'label': '105468750.f.135._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109929
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 1294849095206407349424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109930
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [1294849095206407349424513, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109931
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109932
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 187768627296, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109933
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 64, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109934
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109935
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240451551404584830471349424513, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783309632045932952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109936
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 187768627296, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109937
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 384142702560024960, 1180931196158417210865984580996527736320, 1209664, 1294849095206314901708193, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.45._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109938
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109939
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109940
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 10633086380745323396964276678619590520890143726968627296], 'label': '105468750.f.135._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109941
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972416795632276414368949424513, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109942
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320, 10633086380745323396964294993699300973525302119573291520, 20935040445082060716664072943032703385600000096, 1180931196158417210865984580996527736320, 187768627296, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109943
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109944
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624251768627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320, 10633086380745323396964294993699300973525302119573291520, 20935040445082060716664072943032703385600000096, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109945
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109946
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 10633086380745323396964276678619590520890143726968627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783309632045932952960, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109947
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 1180931196158417210865984580996527736320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783309632045932952960, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109948
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 1209664, 64, 1294849095206314901708193, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.45._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109949
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [10633086380745323396964294993699300973525302119573291520, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000064, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783309632045932952960, 2720125317431229092468692972415500783181208310314616320], 'label': '105468750.f.135._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109950
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 5440183729808487870669589802271958685962783948800000064, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109951
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 2720125317431229092468692972415500783181208310314616320, 10633086380745323396964294993699300973525302119573291520, 20935040445082060716664072943032703385600000096, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783309632045932952960, 5440183729808487870669589802271958685962784136568627296], 'label': '105468750.f.135._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109952
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 10633086380745323396964294993699300973525302119573291520, 5440183729808489051600785960689169551947364945327736320, 20935040445082060716664072943032703385600000096, 187768627296, 2720125317431229092468692972415500783309632045932952960], 'label': '105468750.f.135._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109953
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 64, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 187768627296], 'label': '105468750.f.135._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109954
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [2720125317431229092468711287495211235816366541973291520, 2661115813596514036034985541054936208492853127875398309, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 10633086380745323396964276678619590521018567623532952960, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624412714616320], 'label': '105468750.f.135._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109955
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 135, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624412714616320, 2720125317431229092468692972415500783181208149368627296, 2661115813596514036034985541054936208492853127875398309, 10633086380745323396964276678620885369985349946549424513, 20935040445082060716664072943032703385600000096, 2720125317431229092468711287495211235816366541973291520, 10633086380745324577895472837036801386874724535727736320, 10633086380745323396964276678619590521018567623532952960, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.135._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '135.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109956
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [3953625742147779310913398283286540469744, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 2481794093513708106749376, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 13784720548736380482633799602907655542466360670571391909], 'label': '105468750.f.150._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109957
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 187769443680, 3346064862506535127679879844693429637296, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.150._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109958
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1938901639559075808432570, 384142702560024960, 1180931196158417210865984580996527736320, 3650235887163230670630493477541557347153, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.150._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109959
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064001209664, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143539200000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 10633086380745323396964276678620885369985349854101708193, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.45._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109960
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 3953625742147779310913398283355037698570, 1180931196158417210865984580996527736320, 647475638566251990303456, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.150._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109961
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 3346064862506535127679879844693429637200, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 1209600, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.150._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109962
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720569671420927715869477514227748562275157149524389, 3346064862506535127679879844693429637233, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 1209690], 'label': '105468750.f.150._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109963
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [13784720569671420927715869477514227748562275157149524389, 1938901639559075808432513, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 187769443680, 3650235887163230670630493477541557347184, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520], 'label': '105468750.f.150._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109964
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13784720569671420927715869477514227748562275157149524389, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 1938901639559075808432480, 187769443680, 384142702560024960, 1180931196158417210865984580996527736320, 9157943146738957495316841899520, 3650235887163230670630493477541557347120], 'label': '105468750.f.150._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109965
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1938901639559075808432544, 5440183729808487870669589802271958685962783948800000000, 187769443680, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090, 3650235887163230670630493477541557347216, 13784720569671420927715869477514227748562275157149524389], 'label': '105468750.f.150._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109966
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [78636239695070319843521234680476327203228639412061122544, 9157943146738957495410764678400, 8156060513555467811042961144329100116371585758168249690, 1938901255416653464345050, 93924639360, 1180931231525464538349410680832876952960, 41869337511869054936671067237445483906713145690, 384142610112307200, 32578253219057901637007088555169965414747129588591560976], 'label': '105468750.f.150._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109967
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 50, 'diagramx': None, 'generators': [348714616320, 57063637559893232941771926465589879957397709475333756199, 8156060555424804714553484460142599551033956991857661313, 384142771057661280, 10633086320088835517256582275800952107979592003301681953, 116902094773494509721949937558194598561236000710342777570, 5440183729808489051600813400642018924548407219298688000, 5440183769530679291948839921019586211168808908034112090, 20935040445082060716664072943032703479524639456], 'label': '105468750.f.150._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109968
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [64, 5440183729808487870669589802271958685962783948800000000, 41869336903510541630893209887169105100800000090, 13784720611499094882015778841522433320954472888560691749, 187769443680, 3953625742147779310913398283355037698576, 1180931205316361544447170568551567665953, 384142702560024960, 1209664], 'label': '105468750.f.150._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109969
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [10633086320088835821444052609805498380098062353298822464, 41869337511869054936671067237445483975210616410, 41869337815258891606142586765674723362333488570, 73443337104790715914404984984155100737492064614134174833, 5440183729808488479028084792973882226434567692277368353, 816570, 32578253219057901637007088555168026513491713215343560913, 8156060513555468722791320244448486747395372993061248090, 10633086380745324577895472837036801387131530790315577664], 'label': '105468750.f.150._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109970
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064001209664, 384142702560024960, 1180931196158417210865984580996527736320, 2720125317431233046094435120194811696579491316637698576, 187769443680, 2661115834530808374367613319373691138758087396645949429, 8156060576318181907035076240450256555489624064000000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 10633086380745323396964276678620885369985349854101708193], 'label': '105468750.f.45._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109971
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 150, 'diagramx': None, 'generators': [911748368290328436534718305621984432480, 2720125338365526159255678035287873585853250614496543424, 81591529505721004960025665309380426577380144570, 2720125378087718153107629288682615038473053186666802010, 73443337023199185452695221191248572959266205578072268193, 24417806847890176466556661980157344448533116513934527909, 2720125317431229396656163306421881372909888819414585600, 10633086320088836429004932251050973039132001167372901793, 2720125378087718153107629288682615038217335034946736576], 'label': '105468750.f.150._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109972
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10817176369021316022134121874587711998663455788325949519, 5440183729808487870669589802271958685962783948800000064, 2720125317431233046094435120194811696092910915002370513, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109973
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [64, 348714616320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 13784720569671420927715869477514227748332500890830881189, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.225._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109974
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2661115773874322614755745810290059231489995762371398309, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.225._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109975
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 13784720630327908807423573037468782502077950097771391909, 1938901639558983361516833, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.225._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109976
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 647475638566506779237760, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.225._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109977
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [2481794093513453318450016, 348714616320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 13784720548736380482633799602907655542466360670571391909, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.225._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109978
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [13784720590605717386144341233800865429635465771371391909, 1294849095206407349424570, 348714616320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115773874322614755745810290059231489995762371398309], 'label': '105468750.f.225._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109979
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183750701865063151181582579615690802593979768627290, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109980
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382421368627200, 348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 2720125378087716972176405690312554799760094003200000096, 5440183769530683245574563753719186671803551630237698544, 18315079710452635158580373291520], 'label': '105468750.f.225._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109981
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064001209664, 384142702560024960, 1180931196158417210865984580996527736320, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 10633086380745323396964276678620885369985349854101708193], 'label': '105468750.f.45._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109982
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 5440183687939150967159048171378748798793679035768627233, 2720125378087716972176405690312554799760094003200000096, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109983
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183687939150967159048171378748798793679035768627233, 20935040445082060716664072943032703385600000033, 2661115773874320494659900601476637122179201355045949519, 20935044398707802864443383856430986740637698570, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109984
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183769530679291948821605939875758405268462968627264, 20935040445082060716664072943032703385600000033, 18315079710452635158580373291520, 81591532278415515582340437873009872782237698480, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109985
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701865063151181582579615690802593979768627290, 348714616320, 128424084332952960, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 1180931196158417210865984580996527736320, 41869340857136283778672520800567388455837698544, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109986
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000033, 5440183729808487870669589802271958685962784136568627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109987
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382421368627200, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109988
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382421368627200, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060555424808668179226607921910464048097575837698480, 10633086361916509168166636655259330453287469056000000090, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109989
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060513555471764668684977028700576878992475037698544, 10633086361916509168166636655259330453287469056000000090, 5440183687939150967159048171378748798793679035768627233, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109990
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 5440183769530679291948821605939875758405268462968627264, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.225._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109991
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060534490512209750745693692773519911695860637698513, 1180931196158417210865984580996527736320, 128424084332952960, 5440183750701865063151181582579615690802593979768627290, 10633086361916509168166636655259330453287469056000000090, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109992
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 8156060576318181907035076240450256555489624064001209664, 384142702560024960, 1180931196158417210865984580996527736320, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2720125317431229092468692972415500783181207961600000064, 10633086380745323396964276678620885369985349854101708193], 'label': '105468750.f.45._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109993
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115834530808374367613319373691138758087396645949429, 5440183729808487870669589802271958685962784136568627296, 8156060595147000089458458411589827536490581902237698570, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109994
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125359258906697004507814731605645555702875037698544, 5440183729808487870669589802271958685962784136568627296, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109995
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382421368627200, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431233046094435120194811696579491316637698576, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109996
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 5440183687939150967159048171378748798793679035768627233, 2720125378087720925802147838091865713158377358237698513, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109997
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 128424084332952960, 2720125338365529504522916034423948640715893031837698570, 5440183769530679291948821605941170607500474682549424576, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 5440183769530679291948821605939875758405268462968627264], 'label': '105468750.f.225._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109998
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701865063151181582579615690802593979768627290, 2720125296496192601012374403530738753546787931037698480, 348714616320, 128424084332952960, 5440183769530679291948821605941170607500474682549424576, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6109999
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125296496192601012374403530738753546787931037698480, 348714616320, 128424084332952960, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 41869336903510541630893209887169105288568627264, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110000
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703573368627290, 2720125359258906697004507814731605645555702875037698544, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110001
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431233046094435120194811696579491316637698576, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000, 2720125317431229092468692972416795632276414368949424513, 187768627296], 'label': '105468750.f.225._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110002
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 81591528324789773434561126959611589614968627200, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 2720125378087720925802147838091865713158377358237698513], 'label': '105468750.f.225._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110003
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 384142702560024960, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961601209664, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2720125317431229092468692972415500783181207961600000064, 8156060576318181907035076240451551404584830378901708193], 'label': '105468750.f.45._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110004
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 62762714095992133411200866892008915131768627233, 2720125338365529504522916034423948640715893031837698570, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110005
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 10633086320088839470882306108501847417709540852637698544, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 62762714095992133411200866892008915131768627233, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110006
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [41869336903510541630893209887169105288568627264, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110007
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086341023135929310787022730984361845942567837698513, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703573368627290, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110008
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848819449674036037764081790790782245949423, 10633086299153799025800245391837774474676837467037698570, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 187768627296], 'label': '105468750.f.225._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110009
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [81591528324789773434561126959611589614968627200, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 10633086361916513121792378803038641366685752411037698480, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110010
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [81591528324789773434561126959611589614968627200, 5440183729808491824295331950051269599361067303837698576, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110011
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 5440183687939154920784790319158059712191962203037698513, 62762714095992133411200866892008915131768627233, 18315079710452635158580373291520], 'label': '105468750.f.225._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110012
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701869016776923730358926604200877147037698570, 41869336903510541630893209887169105288568627264, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110013
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183708874195365866851035822132655224665588637698480, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703573368627290, 2720125378087716972176405690312554799760094003200000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110014
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 5440183729808487870669589802271958685962783948800000000, 1294849095206314901708193, 187769443680, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520], 'label': '105468750.f.45._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110015
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 2720125378087716972176405690312554799760094003200000096, 5440183769530683245574563753719186671803551630237698544, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.225._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110016
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.225._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110017
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [20935044398707802864443383856430986740637698570, 348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 81591528324789773434561126959611589614968627200, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 62762714095992133411202161741104121351349424570, 20935040445082060716664072943032703385600000033], 'label': '105468750.f.225._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110018
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 128424084332952960, 81591532278415515582340437873009872782237698480, 18315079710452635158580373291520, 62762714095992133411200866892008915131768627233, 1180931196158417210865984580996527736320, 62762714095992133411202161741104121351349424570, 20935040445082060716664072943032703385600000033], 'label': '105468750.f.225._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110019
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 41869340857136283778672520800567388455837698544, 41869336903510541630893209887169105288568627264, 62762714095992133411202161741104121351349424570, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110020
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703573368627290, 20935040445082060716664072943032703385600000033, 18315079710452635158580373291520], 'label': '105468750.f.225._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110021
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703573368627290, 8156060595147000089458458411589827536490581902237698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110022
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060555424808668179226607921910464048097575837698480, 187768627296, 10633086361916509168166636655259330453287469056000000090, 2661115855465848819449674036037764081790790782245949423, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110023
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 81591528324789773434561126959611589614968627200, 8156060513555471764668684977028700576878992475037698544, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 10633086361916509168166636655259330453287469056000000090, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110024
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 8156060555424804714553484460143894399745020628149424544, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 62762714095992133411200866892008915131768627233, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.225._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110025
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 64, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 647475638566251990303360], 'label': '105468750.f.45._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110026
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [41869336903510541630893209887169105288568627264, 348714616320, 8156060555424804714553484460143894399745020628149424544, 8156060534490512209750745693692773519911695860637698513, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110027
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060534490512209750745693692773519911695860637698513, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 8156060534490508256125003545913462606513412693368627233], 'label': '105468750.f.225._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110028
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115834530808374367613319373691138758087396645949429, 8156060513555467811042942829249389663480709307768627264, 8156060595147000089458458411589827536490581902237698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110029
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 8156060555424808668179226607921910464048097575837698480, 10633086361916509168166636655259330453287469056000000090, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 8156060595146996135832716263810516623092298734968627290], 'label': '105468750.f.225._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110030
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 8156060513555471764668684977028700576878992475037698544, 10633086361916509168166636655259330453287469056000000090, 2661115773874320494659900601476637122179201355045949519, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.225._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110031
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 8156060555424804714553484460142599550649814408568627200, 10633086361916509168166636655259330453287469056000000090, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.225._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110032
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 8156060555424804714553484460142599550649814408568627200, 348714616320, 128424084332952960, 2720125338365529504522916034423948640715893031837698570, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 62762714095992133411202161741104121351349424570], 'label': '105468750.f.225._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110033
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125296496192601012374403530738753546787931037698480, 348714616320, 128424084332952960, 8156060534490508256125003545913462606513412693368627233, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 62762714095992133411202161741104121351349424570, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110034
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125359258906697004507814731605645555702875037698544, 8156060513555467811042942829249389663480709307768627264, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110035
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431233046094435120194811696579491316637698576, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000, 8156060595146996135832716263810516623092298734968627290], 'label': '105468750.f.225._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110036
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [384142610113516864, 41869337511869054936671067237445483906713145690, 647475510142167658801953, 96, 9157943146738470915263919736320, 1180931231525464538349768837244103558400, 32578253219057901637007088555168026513491713215343560913, 78636239695070319843521234680476327203228639412061122544, 93924230433, 1209664, 8156060513555467811042961144329100116371585758168249690], 'label': '105468750.f.6._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110037
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 1294849095206314901708250, 3953625742147779310913398283355037698480, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 1209633], 'label': '105468750.f.45._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110038
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624251768627296, 348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 62762714095992133411202161741104121351349424570, 2720125378087720925802147838091865713158377358237698513], 'label': '105468750.f.225._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110039
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624251768627296, 348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 1180931196158417210865984580996527736320, 10633086361916513121792378803038641366685752411037698480, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110040
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 8156060555424804714553484460143894399745020628149424544, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086320088839470882306108501847417709540852637698544, 8156060555424804714553484460142599550649814408568627200, 5440183729808487870669589802271958685962783948800000064, 18315079710452635158580373291520], 'label': '105468750.f.225._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110041
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 8156060534490508256125003545913462606513412693368627233], 'label': '105468750.f.225._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110042
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 10633086341023135929310787022730984361845942567837698513, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 8156060513555467811042942829249389663480709307768627264, 18315079710452635158580373291520], 'label': '105468750.f.225._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110043
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848819449674036037764081790790782245949423, 10633086299153799025800245391837774474676837467037698570, 18315079710452635158580373291520, 8156060595146996135832716263810516623092298734968627290], 'label': '105468750.f.225._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110044
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 2720125378087716972176405690312554799760094003200000096, 5440183769530683245574563753719186671803551630237698544, 18315079710452635158580373291520, 8156060595146996135832716263810516623092298734968627290, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110045
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115773874320494659900601476637122179201355045949519, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110046
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060555424804714553484460142599550649814408568627200, 2720125378087716972176405690312554799760094003200000096, 5440183687939154920784790319158059712191962203037698513, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110047
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701869016776923730358926604200877147037698570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 8156060534490508256125003545913462606513412693368627233], 'label': '105468750.f.225._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110048
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 1209696, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2481794093513708106749376], 'label': '105468750.f.45._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110049
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183708874195365866851035822132655224665588637698480, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094003200000096, 8156060513555467811042942829249389663480709307768627264, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110050
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000033, 8156060513555467811042942829249389663480709307768627264, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110051
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 8156060595146996135832716263810516623092298734968627290], 'label': '105468750.f.225._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110052
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 20935040445082060716664072943032703385600000033, 2661115773874320494659900601476637122179201355045949519, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 20935044398707802864443383856430986740637698570, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110053
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060555424804714553484460142599550649814408568627200, 20935040445082060716664072943032703385600000033, 18315079710452635158580373291520, 81591532278415515582340437873009872782237698480, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110054
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 8156060534490508256125003545913462606513412693368627233, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 1180931196158417210865984580996527736320, 41869340857136283778672520800567388455837698544, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110055
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 41869340857136283778672520800567388455837698544, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455, 2720125296496188647386632255751427840148504763768627200, 18315079710452635158580373291520], 'label': '105468750.f.225._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110056
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698576, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094190968627233, 20935040445082060716664072943032703385600000033, 18315079710452635158580373291520], 'label': '105468750.f.225._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110057
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 2720125359258902743378765666952294732157419707768627264, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 18315079710452635158580373291520], 'label': '105468750.f.225._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110058
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125338365525550897173886644637727317609864568627290, 20935044398707802864443383856430986740637698570, 348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 20935040445082060716664072943032703385600000033, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110059
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000000, 187769443680, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 1209600, 647475638566251991104000], 'label': '105468750.f.45._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110060
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 2720125317431229092468692972415500783181208149368627296, 348714616320, 128424084332952960, 81591532278415515582340437873009872782237698480, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 20935040445082060716664072943032703385600000033, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110061
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110062
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060534490512209750745693692773519911695860637698513, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115813596511915939132405144554194621685681445949455, 2720125296496188647386632255751427840148504763768627200, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110063
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094190968627233, 8156060595147000089458458411589827536490581902237698570, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110064
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419707768627264, 348714616320, 128424084332952960, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 1180931196158417210865984580996527736320, 8156060555424808668179226607921910464048097575837698480, 10633086361916509168166636655259330453287469056000000090, 2661115855465848819449674036037764081790790782245949423], 'label': '105468750.f.225._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110065
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2720125338365525550897173886644637727317609864568627290, 8156060513555471764668684977028700576878992475037698544, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110066
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125338365525550897173886644637727317609864568627290, 348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 2720125378087720925802147838091865713158377358237698513], 'label': '105468750.f.225._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110067
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 2720125338365529504522916034423948640715893031837698570, 10633086299153795072174503244059758410373760519349424480, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110068
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2720125296496192601012374403530738753546787931037698480, 128424084332952960, 2661115813596511915939132405144554194621685681445949455, 2720125296496188647386632255751427840148504763768627200, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110069
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125359258906697004507814731605645555702875037698544, 2720125378087716972176405690312554799760094190968627233, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110070
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [3953625742147779310913398283355037698480, 41869336903510541630893209887169105100800000090, 5440183729808487870669589802271958685962783948800000000, 1938901639559075809067553, 187769443680, 2661115834530808374367613319373691138758087396645949429, 1180931196158417210865984580996527736320, 384142702560024960, 9157943146738957495316841899520, 1209690], 'label': '105468750.f.45._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110071
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125359258902743378765666952294732157419707768627264, 2720125317431233046094435120194811696579491316637698576, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110072
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2720125359258902743378765666952294732157419707768627264, 5440183729808487870669589802271958685962783948800000064, 2661115855465848819449674036037764081790790782245949423, 10633086299153799025800245391837774474676837467037698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110073
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 2720125338365525550897173886644637727317609864568627290, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 10633086361916513121792378803038641366685752411037698480, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110074
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [18315079710452635158580373291520, 348714616320, 10633086320088839470882306108501847417709540852637698544, 2661115792703134723457540624836897189781875838245949486, 128424084332952960, 2720125317431229092468692972415500783181208149368627296, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 5440183729808487870669589802271958685962783948800000064], 'label': '105468750.f.225._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110075
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115813596511915939132405144554194621685681445949455, 2720125296496188647386632255751427840148504763768627200, 18315079710452635158580373291520], 'label': '105468750.f.225._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110076
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086341023135929310787022730984361845942567837698513, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094190968627233, 18315079710452635158580373291520], 'label': '105468750.f.225._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110077
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 5440183708874195365866851035822132655224665588637698480, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094190968627233, 2720125378087716972176405690312554799760094003200000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110078
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125359258902743378765666952294732157419707768627264, 5440183769530683245574563753719186671803551630237698544, 348714616320, 128424084332952960, 18315079710452635158580373291520, 2720125378087716972176405690312554799760094003200000096, 1180931196158417210865984580996527736320, 62762714095992133411202161741104121351349424570, 2661115855465848819449674036037764081790790782245949423], 'label': '105468750.f.225._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110079
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 2720125338365525550897173886644637727317609864568627290, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110080
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 5440183687939154920784790319158059712191962203037698513, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520], 'label': '105468750.f.225._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110081
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961601209664, 3953625742147779310913398283355037698576, 64, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 8156060576318181907035076240451551404584830378901708193], 'label': '105468750.f.45._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110082
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 5440183750701869016776923730358926604200877147037698570, 18315079710452635158580373291520, 2720125378087716972176405690312554799760094003200000096, 1180931196158417210865984580996527736320, 2720125296496188647386632255751427840148504763768627200, 62762714095992133411202161741104121351349424570, 2661115813596511915939132405144554194621685681445949455], 'label': '105468750.f.225._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110083
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701869016776923730358926604200877147037698570, 348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 2720125378087716972176405690312554799760094003200000096, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110084
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183708874195365866851035822132655224665588637698480, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469243768627200, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094003200000096, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110085
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [10633086341023131975685044874951673448447659400568627233, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 2720125378087716972176405690312554799760094003200000096, 5440183769530683245574563753719186671803551630237698544, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110086
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086320088835517256563960722536504311257685368627264, 2720125378087716972176405690312554799760094003200000096, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110087
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086299153795072174503244058463561278554299768627290, 2720125378087716972176405690312554799760094003200000096, 5440183687939154920784790319158059712191962203037698513, 18315079710452635158580373291520, 10633086299153795072174503244059758410373760519349424480], 'label': '105468750.f.225._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110088
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 128424084332952960, 81591532278415515582340437873009872782237698480, 5440183769530679291948821605941170607500474682549424576, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 10633086299153795072174503244058463561278554299768627290, 20935040445082060716664072943032703385600000033], 'label': '105468750.f.225._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110089
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 41869340857136283778672520800567388455837698544, 20935040445082060716664072943032703385600000033, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110090
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 128424084332952960, 10633086361916509168166636655259330453287469243768627200, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000033, 18315079710452635158580373291520], 'label': '105468750.f.225._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110091
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [10633086341023131975685044874951673448447659400568627233, 348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848819449674036037764081790790782245949423, 20935040445082060716664072943032703385600000033, 62762718049617875558980177805407198299037698513, 18315079710452635158580373291520], 'label': '105468750.f.225._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110092
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961601209664, 187769443680, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143539200000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 8156060576318181907035076240451551404584830378901708193, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.45._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110093
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 5440183769530679291948821605941170607500474682549424576, 1180931196158417210865984580996527736320, 128424084332952960, 10633086320088835517256563960722536504311257685368627264, 20935040445082060716664072943032703385600000033, 2661115773874320494659900601476637122179201355045949519, 20935044398707802864443383856430986740637698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110094
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060513555471764668684977028700576878992475037698544, 10633086320088835517256563960722536504311257685368627264, 10633086361916509168166636655259330453287469056000000090, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110095
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 10633086299153795072174503244058463561278554299768627290, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.225._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110096
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 8156060534490512209750745693692773519911695860637698513, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110097
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469056000000090, 10633086361916509168166636655259330453287469243768627200, 2661115834530808374367613319373691138758087396645949429, 8156060595147000089458458411589827536490581902237698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110098
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [10633086341023131975685044874951673448447659400568627233, 348714616320, 128424084332952960, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060555424808668179226607921910464048097575837698480, 62762714095992133411202161741104121351349424570, 10633086361916509168166636655259330453287469056000000090, 2661115855465848819449674036037764081790790782245949423], 'label': '105468750.f.225._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110099
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [10633086341023131975685044874951673448447659400568627233, 348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431233046094435120194811696579491316637698576, 2661115855465848819449674036037764081790790782245949423, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110100
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 128424084332952960, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 10633086320088835517256563960722536504311257685368627264, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 2720125378087720925802147838091865713158377358237698513, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110101
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 128424084332952960, 2720125338365529504522916034423948640715893031837698570, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 8156060513555467811042942829249389663480709120000000000, 10633086299153795072174503244058463561278554299768627290, 8156060555424804714553484460143894399745020628149424544], 'label': '105468750.f.225._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110102
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 2720125296496192601012374403530738753546787931037698480, 128424084332952960, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110103
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961601209664, 2720125317431233046094435120194811696579491316637698576, 187769443680, 2661115834530808374367613319373691138758087396645949429, 8156060576318181907035076240450256555489624064000000064, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 8156060576318181907035076240451551404584830378901708193], 'label': '105468750.f.45._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110104
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 10633086361916509168166636655259330453287469243768627200, 2661115834530808374367613319373691138758087396645949429, 2720125359258906697004507814731605645555702875037698544, 18315079710452635158580373291520, 8156060513555467811042942829249389663480709120000000000], 'label': '105468750.f.225._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110105
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086341023135929310787022730984361845942567837698513, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 10633086361916509168166636655259330453287469243768627200, 2661115834530808374367613319373691138758087396645949429, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110106
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [10633086341023131975685044874951673448447659400568627233, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848819449674036037764081790790782245949423, 10633086299153799025800245391837774474676837467037698570, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110107
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086320088835517256563960722536504311257685368627264, 5440183729808487870669589802271958685962783948800000064, 10633086361916513121792378803038641366685752411037698480, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110108
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086320088839470882306108501847417709540852637698544, 5440183729808487870669589802271958685962783948800000064, 10633086299153795072174503244058463561278554299768627290, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110109
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110110
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10817176348086276185410556148623080802238796516645949519, 5440183729808491824295331950051269599361067303837698480, 18315079710452635158580373291520, 8156060576318181907035076240450256555489624251768627264, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110111
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318185860660818388229567468887907419037698480, 2720125317431229092468692972415500783181208149368627264, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110112
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627264, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110113
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958685962784136568627264], 'label': '105468750.f.225._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110114
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [384142702560024960, 1180931196158417210865984580996527736320, 2720125317431229092468692972415500783181207961601209664, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 8156060576318181907035076240451551404584830378901708193], 'label': '105468750.f.45._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110115
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125317431233046094435120194811696579491316637698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 2720125317431229092468692972416795632276414368949424513, 187768627264], 'label': '105468750.f.225._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110116
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240450256555489624251768627290, 3953625742147779310913398283355037698480, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486], 'label': '105468750.f.225._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110117
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431229092468692972415500783181208149368627290, 2661115834530808374367613319373691138758087396645949429, 2720125317431233046094435120194811696579491316637698480, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110118
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10817176348086276185410556148623080802238796516645949519, 5440183729808491824295331950051269599361067303837698480, 10633086380745323396964276678619590520890143726968627290, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110119
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318185860660818388229567468887907419037698480, 5440183729808487870669589802271958685962784136568627290, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110120
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 187768627290, 10633086380745327350590018826398901434288426894237698480, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110121
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240450256555489624251768627200, 2661115834530808374367613319373691138758087396645949429, 647475638566506779237760, 2720125317431233046094435120194811696579491316637698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110122
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10817176348086276185410556148623080802238796516645949519, 5440183729808491824295331950051269599361067303837698480, 647475638566506779237760, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208149368627200, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110123
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745323396964276678619590520890143726968627200, 8156060576318185860660818388229567468887907419037698480, 647475638566506779237760, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110124
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962784136568627200, 647475638566506779237760, 10633086380745327350590018826398901434288426894237698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110125
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [10633086380745327350590018826398901434288426894237698576, 41869336903510541630893209887169105100800000090, 187769443680, 2661115834530808374367613319373691138758087396645949429, 5440183729808487870669589802271958685962783948800000064, 1180931196158417210865984580996527736320, 384142702560024960, 9157943146738957495316841899520, 5440183729808487870669589802273253535057990263701708193, 10633086380745323396964276678619590520890143539201209664], 'label': '105468750.f.45._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110126
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 187768627200, 1180931196158417210865984580996527736320, 128424084332952960, 647475638566506779237760, 3953625742147779310913398283355037698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486], 'label': '105468750.f.225._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110127
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318185860660818388229567468887907419037698480, 10633086380745323396964276678622072314983656992518450016, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110128
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698480, 10633086380745323396964276678622072314983656992518450016, 2720125317431229092468692972415500783181208149368627296, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110129
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 3953625742147779310913398283355037698480, 10633086380745323396964276678622072314983656992518450016, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486], 'label': '105468750.f.225._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110130
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125317431233046094435120194811696579491316637698480, 5440183729808487870669589802271958685962784136568627296, 10633086380745323396964276678622072314983656992518450016, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110131
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10817176348086276185410556148623080802238796516645949519, 5440183729808491824295331950051269599361067303837698480, 10633086380745323396964276678622072314983656992518450016, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 187768627296], 'label': '105468750.f.225._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110132
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060576318181907035076240450256555489624251768627233, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424570, 10633086380745327350590018826398901434288426894237698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110133
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2720125317431229092468692972415500783181208149368627233, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424570, 3953625742147779310913398283355037698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486], 'label': '105468750.f.225._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110134
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424570, 2661115834530808374367613319373691138758087396645949429, 2720125317431233046094435120194811696579491316637698480, 10633086380745323396964276678619590520890143726968627233, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110135
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962784136568627233, 10817176348086276185410556148623080802238796516645949519, 8156060576318181907035076240451551404584830471349424570, 5440183729808491824295331950051269599361067303837698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110157
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520], 'label': '105468750.f.225._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110136
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 5440183729808487870669589802273253535057990263701708193, 384142702560024960, 1180931196158417210865984580996527736320, 10633086380745323396964276678619590520890143539201209664, 187769443680, 2661115834530808374367613319373691138758087396645949429, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.45._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110137
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 187768627233, 8156060576318181907035076240451551404584830471349424570, 8156060576318185860660818388229567468887907419037698480, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110138
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 8156060576318181907035076240450904031128190315990303424, 128424084332952960, 10817176348086276185410556148623080802238796516645949519, 2720125317431233046094435120194811696579491316637698576, 5440183729808487870669589802271958685962783948800000064, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110139
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 348714616320, 2720125317431229092468692972416148258819774213590303424, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 5376992660147125218251507977244332003445117668645949455], 'label': '105468750.f.225._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110140
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 184090048932481113236052904564617240960242404645949423, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 10633086380745323396964276678620237996528709791190303424, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110141
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033, 8097051051590087538023923892871652962090291940645949486, 5440183729808487870669589802272606161601350200790303424], 'label': '105468750.f.225._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110142
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 647475638566251990303424, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 18315079710452635158580373291520, 5440183708874191412241108888042821741826382233600000033], 'label': '105468750.f.225._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110143
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520], 'label': '105468750.f.225._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110144
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 8156060576318181907035076240451551404584830471349424513, 348714616320, 128424084332952960, 8156060576318185860660818388229567468401327017402370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110145
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 8156060576318181907035076240450256555489624064000000064, 2720125317431233046094435120194811696092910915002370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110146
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 10633086380745327350590018826398901433801846492602370513], 'label': '105468750.f.225._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110147
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [486580750349702400, 608358522430651104276852211724649899520, 187769443680, 20935040445082096083714529695575878602154393056, 73443337023199195194308372598499846303187166539584888353, 16261746376204044950665730424051809065422897479056435103, 2481793991075567870563776, 64, 2720125296496189828317828414168638706133085411582563713, 27439952953955502861696377443680, 280215936090], 'label': '105468750.f.6._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110148
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [64, 41869336903510541630893209887169105100800000090, 187769443680, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698576, 1180931196158417210865984580996527736320, 384142702560024960, 9157943146738957495316841899520, 5440183729808487870669589802273253535057990263701708193, 10633086380745323396964276678619590520890143539201209664], 'label': '105468750.f.45._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110149
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269598874486902202370513, 8156060576318181907035076240450256555489624064000000064, 5440183729808487870669589802273253535057990356149424513, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110150
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269598874486902202370513, 5440183729808487870669589802273253535057990356149424513, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.225._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110151
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520], 'label': '105468750.f.225._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110152
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 348714616320, 128424084332952960, 8156060576318185860660818388229567468401327017402370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429, 2720125317431229092468692972415500783181207961600000064], 'label': '105468750.f.225._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110153
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 2720125317431233046094435120194811696092910915002370513, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110154
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 10633086380745327350590018826398901433801846492602370513], 'label': '105468750.f.225._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110155
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 10633086380745327350590018826398901433801846492602370513], 'label': '105468750.f.225._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110156
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269598874486902202370513, 5440183729808487870669589802273253535057990356149424513, 348714616320, 128424084332952960, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110158
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 348714616320, 128424084332952960, 8156060576318185860660818388229567468401327017402370513, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110159
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '45T3794', 'count': 45, 'diagramx': None, 'generators': [41869336903510541630893209887169105100800000090, 10633086380745323396964276678619590520890143539200000064, 187769443680, 2661115834530808374367613319373691138758087396645949429, 1180931196158417210865984580996527736320, 384142702560024960, 9157943146738957495316841899520, 5440183729808487870669589802273253535057990263701708193, 8156060576318185860660818388229567468887907419037698576, 10633086380745323396964276678619590520890143539201209664], 'label': '105468750.f.45._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110160
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 2720125317431233046094435120194811696092910915002370513, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110161
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848211091179045338322335182746668325949429, 2720125317431233046094435120194811696092910915002370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110162
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 10633086380745327350590018826398901433801846492602370513], 'label': '105468750.f.225._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110163
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269598874486902202370513, 5440183729808487870669589802273253535057990356149424513, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110164
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520], 'label': '105468750.f.225._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110165
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240451551404584830471349424513, 348714616320, 128424084332952960, 8156060576318185860660818388229567468401327017402370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110166
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [64, 8156060576318181907035076240451551404584830471349424513, 348714616320, 128424084332952960, 8156060576318185860660818388229567468401327017402370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110167
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115855465848211091179045338322335182746668325949429, 2720125317431233046094435120194811696092910915002370513, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513], 'label': '105468750.f.225._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110168
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 10633086380745327350590018826398901433801846492602370513], 'label': '105468750.f.225._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110169
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183729808491824295331950051269598874486902202370513, 64, 5440183729808487870669589802273253535057990356149424513, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110170
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [8156060576318181907035076240450256555489624064000000064, 41869336903510541630893209887169105100800000090, 187769443680, 2661115834530808374367613319373691138758087396645949429, 2720125317431233046094435120194811696579491316637698576, 1180931196158417210865984580996527736320, 384142702560024960, 9157943146738957495316841899520, 5440183729808487870669589802273253535057990263701708193, 10633086380745323396964276678619590520890143539201209664], 'label': '105468750.f.45._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110171
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520], 'label': '105468750.f.225._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110172
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 10633086341023135929310787022730984361845942567837698513, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 5440183729808487870669589802271958685962784136568627296, 18315079710452635158580373291520], 'label': '105468750.f.225._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110173
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520], 'label': '105468750.f.225._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110174
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [3953625742147779310912911702953402370576, 348714616320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 1938901639558983361516833, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2661115855465848211091179045338322335182746668325949429], 'label': '105468750.f.225._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110175
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 647475638566506779237760, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370480, 18315079710452635158580373291520], 'label': '105468750.f.225._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110176
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2481794093513453318450016, 128424084332952960, 3953625742147779310912911702953402370544, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110177
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 3953625742147779310912911702953402370570, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1294849095206407349424570], 'label': '105468750.f.225._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110178
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 3346064862506535127679879845042142802000, 18315079710452635158580373291520], 'label': '105468750.f.225._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110179
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183708874191412241108888042821741826382421368627200, 62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000064, 2661115855465848819449674036037764081790790782245949423, 10633086299153799025800245391837774474676837467037698570, 18315079710452635158580373291520], 'label': '105468750.f.225._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110180
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [62762714095992133411202161741104121351349424570, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183687939150967159048171378748798793679035768627233, 10633086361916513121792378803038641366685752411037698480, 5440183729808487870669589802271958685962783948800000064, 2661115773874320494659900601476637122179201355045949519, 18315079710452635158580373291520], 'label': '105468750.f.225._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110181
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [647475638566251989894433, 1938901383840645349171200, 1180931205316361544447528725123658341760, 41869336903510569070846163843056109219520307290, 1294849095206127132672000, 8156060555424805626301852750471036084983977140224000064, 32578253219057900456075883271878863672438163849182332080, 1938901639558795592496544, 2661115773874322614755753737387019136050368801475398399, 9157942499263344915451584307233], 'label': '105468750.f.45._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110182
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 348714616320, 128424084332952960, 10633086320088839470882306108501847417709540852637698544, 18315079710452635158580373291520, 5440183729808487870669589802271958685962783948800000064, 1180931196158417210865984580996527736320, 62762714095992133411202161741104121351349424570, 5440183769530679291948821605939875758405268462968627264], 'label': '105468750.f.225._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110183
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2661115792703134723457540624836897189781875838245949486, 8156060555424804714553484460143894399745020628149424544, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183769530679291948821605939875758405268462968627264, 2720125378087716972176405690312554799760094003200000096, 5440183687939154920784790319158059712191962203037698513, 18315079710452635158580373291520], 'label': '105468750.f.225._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110184
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [5440183750701869016776923730358926604200877147037698570, 348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 5440183750701865063151181582579615690802593979768627290, 2720125378087716972176405690312554799760094003200000096, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.225._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110185
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 5440183708874195365866851035822132655224665588637698480, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 2720125378087716972176405690312554799760094003200000096, 5440183729808487870669589802271958685962784136568627296, 18315079710452635158580373291520], 'label': '105468750.f.225._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110186
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1180931223598370060238585623084207391424, 1180931214473497460788133848365957528993, 29862376374612770295142707690768101327786465435954120913, 93924230433, 8156060513555468722791320244448486747395372993061248090, 911748385342296704463856796747146416544, 608358530357748711554511068603286750816, 2661115773874322006397258746686282540988067118083091199, 41869337815258891606142586765674723362333488570], 'label': '105468750.f.225._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110187
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1180931223598370060238585623084207391424, 1180931214473497460788133848365957528993, 32578253219057901637007088555168026513491713215343560913, 93924230433, 8156060513555468722791320244448486747395372993061248090, 911748385342296704463856796747146416544, 1180931205316360357502530417891398245856, 2661115773874322006397258746686282540988067118083091199, 41869337815258891606142586765674723362333488570], 'label': '105468750.f.225._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110188
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1180931223598370060238585623084207391424, 1180931214473497460788133848365957528993, 35298311631394239968329900092687085138919275325664200913, 304187497773956208699464398976258112096, 93924230433, 8156060513555468722791320244448486747395372993061248090, 911748385342296704463856796747146416544, 2661115773874322006397258746686282540988067118083091199, 41869337815258891606142586765674723362333488570], 'label': '105468750.f.225._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110189
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [1180931223598370060238585623084207391424, 1180931214473497460788133848365957528993, 38018436948824725378332483596672196092654186967018440913, 93924230433, 8156060513555468722791320244448486747395372993061248090, 911748349975249376878505618541748608096, 911748385342296704463856796747146416544, 2661115773874322006397258746686282540988067118083091199, 41869337815258891606142586765674723362333488570], 'label': '105468750.f.225._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110190
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [41869337815258891606142586765674723362333488570, 1180931214473497460788133848365957528993, 27385350670605971055411065725973995900404774808431560913, 1180931223598370060238585623084207391424, 8156060513555468722791320244448486747395372993061248090, 2661115773874322006397258746686282540988067118083091199, 93924230433, 911748385342296704463856796747146416544, 18315079710452763540538909488576], 'label': '105468750.f.225._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110191
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [35367050456752671557643076195744, 1180931231525464538349282257097258616320, 32578253200229087139026593223766685634245901849095496880, 93924230433, 8156060513555468722791320244448486747395372993061248090, 9157943146738599338999539115584, 2661115773874322006397258746686282540988067118083091199, 27439953496848238520609386166913, 41869337815258891606142586765674723362333488570], 'label': '105468750.f.225._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110192
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [32578253219057900760263344448746846127852350247431496976, 647475638566251989894433, 1938901383840645349171200, 1180931205316361544447528725123658341760, 41869336903510569070846163843056109219520307290, 1294849095206127132672000, 8156060555424805626301852750471036084983977140224000064, 2661115773874322614755753737387019136050368801475398399, 647475638566158067115520, 9157942499263344915451584307233], 'label': '105468750.f.45._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110193
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 647475638566251990303360, 13784720569671420927715869477514227748332500890830881189], 'label': '105468750.f.225._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110194
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [348714616320, 8156060555424804714553484460143894399745020628149424544, 1180931196158417210865984580996527736320, 128424084332952960, 5440183750701865063151181582579615690802593979768627290, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 24417806929481703879598076281527246063356504209771391909, 18315079710452635158580373291520], 'label': '105468750.f.225._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110195
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [64, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698576, 1180931214473496917895654995869959390720, 1294849222542226391040033, 486580750348901856, 608358522430651104276852212004865200480], 'label': '105468750.f.225._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110196
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [3953625742147779310913398283355037698480, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 2661115834530808374367613319373691138758087396645949429, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 5440183729808487870669589802273253535057990356149424570, 10633086380745323396964276678619590520890143726968627233], 'label': '105468750.f.225._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110197
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [5440183729808487870669589802271958685962784136568627233, 3953625742147779310913398283355037698480, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 2661115834530808374367613319373691138758087396645949429, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2720125317431229092468692972416795632276414368949424570], 'label': '105468750.f.225._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110198
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 187768627233, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1294849095206407349424570], 'label': '105468750.f.225._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110199
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [3953625742147779310913398283355037698576, 64, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 304187488649082961875428648469899051520, 20935040445082060716664072943032703385600000096, 486580750348901856, 1294849324980393452524833, 18315079710452763540819124608000], 'label': '105468750.f.225._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110200
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424513, 8156060576318181907035076240450256555489624251768627264], 'label': '105468750.f.225._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110201
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240450256555489624251768627200, 5440183729808487870669589802272606161601350455579237760, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110202
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678620237996528710045979237760, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972415500783181208149368627200], 'label': '105468750.f.225._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110203
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [2481794093513359393177050, 647475638566251989894433, 1938901383840645349171200, 1180931205316361544447528725123658341760, 41869336903510569070846163843056109219520307290, 1294849095206127132672000, 8156060555424805626301852750471036084983977140224000064, 2661115773874322614755753737387019136050368801475398399, 32578253219057901064434359947499889815377873806115266570, 9157942499263344915451584307233], 'label': '105468750.f.45._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110204
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [3953625742147779310913398283355037698480, 348714616320, 128424084332952960, 20935040445082060716664072943032703385600000096, 2661115834530808374367613319373691138758087396645949429, 18315079710452635158580373291520, 1180931196158417210865984580996527736320, 2720125317431229092468692972416148258819774468379237760, 10633086380745323396964276678619590520890143726968627200], 'label': '105468750.f.225._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110205
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143539200000064, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678620237996528709791190303424, 18315079710452635158580373291520, 8156060576318185860660818388229567468887907419037698576], 'label': '105468750.f.225._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110206
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240450904031128190315990303424, 2720125317431233046094435120194811696579491316637698576, 2661115834530808374367613319373691138758087396645949429, 8156060576318181907035076240450256555489624064000000064, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110207
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 10633086380745327350590018826398901434288426894237698576, 5440183729808487870669589802271958685962783948800000064, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802272606161601350200790303424], 'label': '105468750.f.225._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110208
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [5440183729808491824295331950051269599361067303837698576, 348714616320, 2720125317431229092468692972416148258819774213590303424, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181207961600000064, 18315079710452635158580373291520], 'label': '105468750.f.225._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110209
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 647475638566251990303424, 1180931196158417210865984580996527736320, 3953625742147779310913398283355037698576, 128424084332952960, 64, 2661115834530808374367613319373691138758087396645949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110210
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 5440183729808487870669589802271958685962784136568627200, 3953625742147779310913398283355037698480, 8156060576318181907035076240450904031128190570779237760, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110211
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 187768627200, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 647475638566506779237760, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110212
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424513, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627264, 18315079710452635158580373291520], 'label': '105468750.f.225._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110213
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 348714616320, 10633086380745323396964276678619590520890143726968627264, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110214
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [32578253219057901367824250299096505056988059907214869744, 1294849095206127133881633, 647475638566251989894433, 1938901383840645349171200, 1180931205316361544447528725123658341760, 41869336903510569070846163843056109219520307290, 1294849095206127132672000, 8156060555424805626301852750471036084983977140224000064, 2661115773874322614755753737387019136050368801475398399, 9157942499263344915451584307233], 'label': '105468750.f.45._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110215
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240450256555489624251768627290, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972417439684820766944961516833, 18315079710452635158580373291520], 'label': '105468750.f.225._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110216
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [1294849222542226391040033, 608358522430651104276852212004865200480, 64, 5440183729808487870669589802271958685962783948800000000, 2661115813596514036034985541054936208492853127875398309, 13784720611499094578625933014108522434577713874077766309, 20935040445082060716664072943032703385600000096, 486580750348901856, 608358530357748711554638404794991384960], 'label': '105468750.f.225._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110217
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2661115813596514036034985541054936208492853127875398309, 1294849095206314901708193, 20935040445082060716664072943032703385600000096, 486580750348901856, 13784720611499094578625933014108522434577713593862630949, 5440183729808487870669589802271958685962783948800000000, 304187488649082961875428648469899051520, 64, 27439952953955502861696377443680], 'label': '105468750.f.225._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110218
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [62762714095992133411200866892137339028332953024, 2720125296496188647386632255752722689243710983349424544, 16261746376204044647275901648609939327433310763371391909, 5440183729808487870669589802271958685962784297514616320, 5440183687939152148090244329795959664778259844527736384, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 2720125296496188647386632255751427840148504763768627200, 62762714095992151726280577344644073524373291584], 'label': '105468750.f.225._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110219
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [5440183729808487870669589802273253535057990356149424513, 16261746376204044647275901648609939327433310763371391909, 8156060513555468991974138987666600529465290116527736410, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094190968627233, 2720125378087716972176405690312554799760094003200000096, 10633086361916509168166654970339040905922627636373291553, 2720125317431229092468692972415500783309632045932952960, 10633086299153795072174503244058463561278554460714616416], 'label': '105468750.f.225._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110277
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627264], 'label': '105468750.f.225._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110220
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060576318181907035076240450256555618048148332952960, 41869336903510541630894504736264311508149424576, 5440183769530679291948839921019586211040426855573291610, 10633086299153796253105699402475674427263135108527736416, 13784720611499094578625933014108522434475275614571391909, 2661115855465850939545527171948146095661958228675398399, 10633086320088835517256563960722536504311257685368627264, 2720125378087716972176405690312554799760094003200000096, 5440183687939150967159048171378748798793679196714616384], 'label': '105468750.f.225._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110221
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510541630893209887169105288568627264, 20935040445082060716664072943161127469932953056, 21697681551393986907421670591214691263596410206571391909, 10633086361916509168166636655260625302382675463349424544, 20935040445082079031743783395667861965973291616, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 10633086380745323396964276678619590520890143887914616320, 10633086299153796253105699402475674427263135108527736416], 'label': '105468750.f.225._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110222
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [1294849095206407349424513, 1180931196158417210865984580996527736320, 10633086320088835517256582275802246956946416077973291610, 21697681551393986907421670591214691263596410206571391909, 20935040445082060716664072943032703573368627290, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 2720125338365525550897173886644637727317610025514616416, 2720125378087716972176405690312554799888518087532953024], 'label': '105468750.f.225._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110223
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [18977623180886065032731315392251443247983939320171391909, 1180931196158417210865984580996527736320, 5440183769530679291948821605939875758405268623914616410, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 5440183750701865063151181582580910539897800199349424480, 8156060595146996135832716263810516623092298734968627290, 8156060555424804714553502775222310003284972801173291553, 5440183750701865063151181582579615690931017876332953056], 'label': '105468750.f.225._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110224
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [10633086320088835517256563960723831353406463904949424576, 8156060534490508256125003545913462606513412854314616384, 1180931196158417210865984580996527736320, 2720125338365525550897173886644637727317609864568627290, 8156060555424804714553484460142599550778238305132952993, 16261746376204044647275901648609939327433310763371391909, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 5440183750701865063151199897659326143437752372373291616], 'label': '105468750.f.225._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110225
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [647475638566251989894433, 1938901383840645349171200, 1180931205316361544447528725123658341760, 32578253219057901637007088555168026513491713215343560913, 41869336903510569070846163843056109219520307290, 1294849095206127132672000, 8156060555424805626301852750471036084983977140224000064, 96, 2661115773874322614755753737387019136050368801475398399, 9157942499263344915451584307233], 'label': '105468750.f.45._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110226
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [10633086361916509168166636655259330453287469404714616353, 10633086320088835517256563960722536504439681581932953050, 2720125378087716972176424005392265252395252583573291584, 1180931196158417210865984580996527736320, 2720125378087716972176405690313849648855300410549424570, 10633086299153795072174503244058463561278554299768627290, 2661115855465850939545527171948146095661958228675398399, 2720125378087716972176405690312554799760094003200000096, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.225._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110227
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 8156060576318181907035076240450256555489624251768627233, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 10633086380745323396964276678620885369985349946549424570], 'label': '105468750.f.225._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110228
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2720125317431229092468692972415500783181208149368627233, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 8156060576318181907035076240451551404584830471349424570, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110229
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 647475638566251990303360], 'label': '105468750.f.225._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110230
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 5440183729808487870669589802273897587602342932161516833, 1180931196158417210865984580996527736320, 128424084332952960, 2720125317431229092468692972415500783181208149368627290, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110231
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060576318181907035076240452195457129183047361516833, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 10633086380745323396964276678619590520890143726968627290, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110232
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 8156060576318181907035076240452738349583137517318450016, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 8156060576318181907035076240450256555489624251768627296, 18315079710452635158580373291520], 'label': '105468750.f.225._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110233
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 2720125317431229092468692972415500783181208149368627296, 2720125317431229092468692972417982577274721414918450016, 18315079710452635158580373291520], 'label': '105468750.f.225._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110234
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 10633086380745323396964276678619590520890143726968627296, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678622072314983656992518450016, 18315079710452635158580373291520], 'label': '105468750.f.225._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110235
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 10633086299153796253105734769523649386199377018611115520, 8097051051590089353932324976787838916381497336254079966, 8156060595146997316763939862180576861549539647444600320, 41869336903510569070846163843056109219520307290, 2720125296496188951574111747697825899717605532871558400, 81591528628977243768567507549826850406433584570, 29862376456204298619932489052428669986051941193154869680, 8156060595146997316763939862180576861907695616033584513], 'label': '105468750.f.225._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110236
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 45, 'diagramx': None, 'generators': [41869336903510569070846706735510063783322846816, 1180931205316361544447528725123658341760, 93924639360, 647475638566158067115553, 8156060555424805626301852750471036084983977140224000064, 384142610113516864, 816570, 32578253219057901637007088555168026513491713495559496913, 2661115773874322614755753737387019136050368801475398399, 9157944438164344613486821987776], 'label': '105468750.f.45._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110237
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [81591528628977243768567507549826850406433584570, 41869336903510569070846163843056109219520307290, 2661115773874322614755753737387019136050368801475398399, 8156060576318181907035103680403210510992485921322374433, 647475510142167658801953, 8156060595146997316763939862180576861549539578947371610, 32578253219057901637007088555168026513491713215343560913, 8156060513555468419401437819950770311344169794937443770, 81591528628977243768567507549597076515652195770], 'label': '105468750.f.225._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110238
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 8156060555424805018740982234098808250343987530396669344, 35298311652328536426758371882044270005907262119334198384, 2720125296496188951574111747698473375227747700450526784, 41869336903510569070846163843056109219520307290, 81591528628977243768567507549826850406433584570, 62762714704350628401902247540256517853512889633, 10817176327151980666146759651837482687036592901672755743, 5440183769530680203697189896268855185090948127847421280], 'label': '105468750.f.225._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110239
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 5440183687939151575517561477157253624964342149990187610, 8156060534490508864483525976564566883263186599670373850, 41869336903510569070846163843056109219520307290, 5440183729808487870669608117351669138469518352392803776, 10633086380745323396964312045670047273689037187690166944, 81591528628977243768567507549826850406433584570, 5376992681082166871681080979443948434191509633431943589, 38018436888168237498624752596764791966921612012347600650], 'label': '105468750.f.225._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110240
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 184090007104808974063330428141156281742665737757001055, 8156060513555468722791320244448486747395373061558476896, 8156060513555468722791320244449134222905515135293048416, 2720125378087717580534909838956977603064268280898736576, 41869336903510569070846163843056109219520307290, 27385350628736634151900496655128476110507981365743314096, 10633086320088836429004949303019240968296436551996005824, 81591528628977243768567507549826850406433584570], 'label': '105468750.f.225._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110241
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 8156060555424805018740982234098808250343987461898624090, 184090007104808974063330428141156281742665737757001055, 2720125378087717580534909838956977603319986432618801953, 41869336903510569070846163843056109219520307290, 27385350628736634151900496655128476110507981365743314096, 5440183729808487870669608117351669138853660935680204864, 5440183687939151575517561477156606149454200076255616090, 2720125359258903655127124800145357818392343964484195776], 'label': '105468750.f.225._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110242
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [10633086341023132584043575232700385002830345483488134496, 41869336903510569070846163843056109219520307290, 8156060576318181907035103680403210510992485852825145696, 29862376456204298619932489052428669986051941193154869680, 5440183769530680203697189896268855185347754382436139616, 5440183750701866244082396056077076478680724100162736480, 8156060513555468419401437819950770311344169794937443770, 8156060555424805018740982234098808250343987461898624090, 8097051051590089353932324976787838916381497336254079966], 'label': '105468750.f.225._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110243
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 2661115773874322614755753737387019136050368801475398399, 41869337815258891606142586765674723362333488544, 5440183750701866244082396056076533586329207515653689600, 8156060576318181907035103680403753403344002505831421313, 32578253219057901637007088555168026513491713215343560913, 8156060513555468419401437819950770311344169794937443770, 2720125338365526731828379203004995230077801578250624033, 8156060555424805018740982234098808250343987461898624090], 'label': '105468750.f.225._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110244
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060555424805018740982234098808250343987461898624090, 8156060513555468419401437819950770311344169794937443770, 35298311652328536426758371882044270005907262119334198384, 10633086361916509472354142356313686002310548209697584544, 8156060555424805018740982234098808250114213103132672090, 41869336903510569070846163843056109219520307290, 5440183729808487870669608117351669138469518444840112513, 10817176327151980666146759651837482687036592901672755743, 5440183708874191716428597537125783617613186928353484160], 'label': '105468750.f.225._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110245
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060555424805018740982234098808250343987461898624090, 8156060513555468419401437819950770311344169794937443770, 10633086299153796253105734769523001910689235293589708890, 41869337815258891606142586765417917227015987200, 41869336903510569070846163843056109219520307290, 62762714704350628401902790432608034531946166970, 5376992681082166871681080979443948434191509633431943589, 38018436888168237498624752596764791966921612012347600650, 5440183708874191716428597537125783617613187020800793024], 'label': '105468750.f.225._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110246
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [38018436888168237498624752596764791966921612012347600650, 41869336903510569070846163843056109219520307290, 2720125359258903655127124800144814926040827286130752064, 2720125317431229092468702130358647521652123064574156193, 8156060534490508864483525976565214256591444329984204890, 2720125296496188951574111747697825899487831640614457690, 8156060513555468419401437819950770311344169794937443770, 2720125296496188951574111747697825899717605532872768090, 5376992681082166871681080979443948434191509633431943589], 'label': '105468750.f.225._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110247
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '50.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': 25, 'diagramx': None, 'generators': [16261746376204042830569867226422791454457461632287868286, 304187479491946398059466662883656889600, 8156060534490508256125012703856609345241133837815872064, 384142771057661280, 18315078415604052477114337067610, 8156060595146996135832716263810516623578879136604364256, 187769443680, 65219698092277515894990336022830387355321995830699146229, 41869336903510541630893209887553247523144889690, 92236870362312199107589010377021750669392743383077475703], 'label': '105468750.f.50.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110248
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 27385350628736634151900496655128476110507981365743314096, 8156060555424805018740982234098808250343987461899440480, 8156060513555468722791320244448486747138566389761209600, 10633086320088836429004949303019888341624693933596672096, 8156060513555468419401437819950770311344169794937443770, 2720125296496188951574111747697825899717605532872768090, 184090007104808974063330428141156281742665737757001055, 2720125296496188951574111747697825899717605626715955264], 'label': '105468750.f.225._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110249
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [384142610113516864, 41869336903510569070846163843056109219520307290, 29862376456204298619932489052428669986051941193154869680, 2720125378087717580534909838956977603319986526463198810, 8156060513555468419401437819950770311344169794937443770, 2720125296496188951574111747697825899717605532872768090, 20935041626013256875081931182473965941984134400, 8097051051590089353932324976787838916381497336254079966, 20935041626013256875081283809145708117746073050], 'label': '105468750.f.225._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110250
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2720125296496188951574111747697825899717605532872768090, 8156060513555468419401437819950770311344169794937443770, 2720125317431229092468702130359294894980380794887987233, 32578253219057901637007088555168026513491713215343560913, 41869336903510569070846163843056109219520307290, 2720125359258903655127124800144814926040827379975148896, 5440183687939151575517561477156606149198481806742918496, 2661115773874322614755753737387019136050368801475398399, 5440183687939151575517561477156606149454199983808307233], 'label': '105468750.f.225._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110251
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2720125296496188951574111747697825899717605532872768090, 8156060513555468419401437819950770311344169794937443770, 35298311652328536426758371882044270005907262119334198384, 41869336903510569070846163843056109219520307290, 5440183708874191716428597537126430990941444751114624064, 10817176327151980666146759651837482687036592901672755743, 2720125338365526731828379203004995229719645168501347680, 10633086299153796253105734769523001911047391356104768033, 10633086380745323396964312045670047273304895020136056416], 'label': '105468750.f.225._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110252
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 35298311652328536426758371882044270005907262119334198384, 41869337815258891606142586765674723456257718976, 62762714704350628401902247540000799703269580256, 41869336903510569070846163843056109219520307290, 10817176327151980666146759651837482687036592901672755743, 2720125338365526731828379203004995229719645074656950970, 81591528628977243768565025756219917542600768064, 10633086361916509472354142356313143109959031973900901850], 'label': '105468750.f.225._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110253
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 41869336903510569070846163843056109219520307290, 20935041626013256875081283809145708211670303360, 2720125378087717580534909838954495809713053568705516890, 5376992681082166871681080979443948434191509633431943589, 38018436888168237498624752596764791966921612012347600650, 8156060534490508864483525976564566883263186531173144993, 10633086361916509472354142356313143109959031973900901850, 5440183750701866244082396056076533586687363901452901793], 'label': '105468750.f.225._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110254
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [184090007104808974063330428141156281742665737757001055, 8156060513555468419401437819950770311344169794937443770, 10633086361916509472354142356313143109729257640561951450, 41869336903510569070846163843056109219520307290, 93924230433, 27385350628736634151900496655128476110507981365743314096, 5440183769530680203697189896266373391740821424678457696, 96, 10633086361916509472354142356313143109959031973900901850], 'label': '105468750.f.225._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110255
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 81591528628977243768567507549826850500358449984, 8097051051590089353932324976787838916381497336254079966, 41869336903510569070846163843056109219520307290, 29862376456204298619932489052428669986051941193154869680, 5440183769530680203697189896268855185347754289988830784, 8156060595146997316763939862178095067942606689686918400, 2720125359258903655127124800144814925784021149336344960, 10633086361916509472354142356313143109959031973900901850], 'label': '105468750.f.225._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110256
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 2661115773874322614755753737387019136050368801475398399, 62762714704350628401902247540256517947437120090, 8156060576318181907035103680403210511376627994952089024, 10633086380745323396964312045667565479697961713665209633, 32578253219057901637007088555168026513491713215343560913, 8156060513555468419401437819950770311344169794937443770, 10633086361916509472354142356313143109959031973900901850, 10633086361916509472354142356313143109959031973901702400], 'label': '105468750.f.225._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110257
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [8156060513555468419401437819950770311344169794937443770, 10633086320088836429004949303019240968039629974122801920, 5440183729808487870669608117352313190886535014040344993, 32578253219057901637007088555168026513491713215343560913, 41869336903510569070846163843056109219520307290, 2720125317431229092468702130358647521652122970729759456, 10633086361916509472354142356313143109959031625188537664, 2661115773874322614755753737387019136050368801475398399, 5440183708874191716428597537125783617613186928354526810], 'label': '105468750.f.225._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110258
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1209664, 2661115813596514036034985541054936208492853127875398309, 1294849095206314901708193, 187769443680, 5440183729808487870669589802271958685962783948800000000, 384142702560024960, 41869336903510541630893209887169105100800000090, 9157943146738957495316841899520, 13784720611499094578625933014108522434475275614571391909, 1180931196158417210865984580996527736320, 64], 'label': '105468750.f.9._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110259
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '54.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': [384142702560024960, 1180931196158417210865984580996527736320, 1209664, 64, 187769443680, 1294849095206314901708193, 5440183729808487870669589802271958685962783948800000000, 9157943146738957495316841899520, 41869336903510541630893209887169105100800000090], 'label': '105468750.f.54.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110260
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 8156060513555468722791320244448486747395372993061248064, 8156060555424805018740982234099452302761004099596901824, 10633086341023132584043575232700385003086063727575856570, 10817176327151980666146759651837482687036592901672755743, 35298311652328536426758371882044270005907262119334198384, 8156060513555468419401437819950770311344169794937443770, 5440183708874191716428597537125783617613186928354526810, 2720125317431229092468702130358647522036265579366187584], 'label': '105468750.f.225._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110261
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [81591528628977243768567507549826850406434219520, 8156060513555468419401437819950770311344169794937443770, 10633086341023132584043575232701029055503080296776089050, 10633086320088836429004949303019240968296436203282841056, 41869336903510569070846163843056109219520307290, 5376992681082166871681080979443948434191509633431943589, 38018436888168237498624752596764791966921612012347600650, 8156060534490508864483525976564566883007467912947115616, 5440183708874191716428597537125783617613186928354526810], 'label': '105468750.f.225._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110262
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 5440183750701866244082396056076533586329207423206380890, 27385350628736634151900496655128476110507981365743314096, 20935041626013256875081283809503864622818526753, 8156060513555468419401437819950770311344169794937443770, 5440183708874191716428597537125783617613186928354526810, 10633086299153796253105734769523001910689234944876544000, 184090007104808974063330428141156281742665737757001055, 41869337815258891606143230818091740025457951456], 'label': '105468750.f.225._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110263
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869336903510569070846163843056109219520307290, 10633086341023132584043575232700385003086064076289021313, 10633086380745323396964312045670047273304894671422891553, 29862376456204298619932489052428669986051941193154869680, 8156060513555468419401437819950770311344169794937443770, 5440183708874191716428597537125783617613186928354526810, 5440183708874191716428597537125783617383413010749048410, 8097051051590089353932324976787838916381497336254079966, 2720125338365526731828379203005639282136661737701580160], 'label': '105468750.f.225._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110264
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 5440183729808487870669589802271958685962784136568627296, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 5440183729808487870669589802274440480056297402118450016], 'label': '105468750.f.225._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110265
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 2481794093513453318450016, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 187768627296], 'label': '105468750.f.225._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110266
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 5440183729808487870669589802271958685962784136568627290, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 10633086380745323396964276678621529422529702522561516833, 18315079710452635158580373291520], 'label': '105468750.f.225._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110267
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 187768627290, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 1938901639558983361516833, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.225._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110268
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 2720125317431229092468692972416795632276414368949424513, 5440183729808487870669589802271958685962784136568627264], 'label': '105468750.f.225._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110269
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869337815258891606142586765674723362333488570, 32578253219057901637007088555168026513491713215343560913, 1938901639558795591680000, 8156060513555468722791320244448486747395372993061248090, 2661115855465849758614323086434622801113727017126726399, 1938901255416561017443713, 1209664, 9157943146738599338999538072960, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110270
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [1938901383840645349580250, 348714616320, 8156060513555468115230440603205598363174882429597062490, 911748377415199097083657857549977145600, 3346064835066584655517727109887990358993, 2661115855465848819449664911166459480050079956553706229, 18977623201820361221976923914205328285986727222599648639, 81591528324789782592504273698210928706955051553, 35367050456752543175310479030880, 486580750349702400], 'label': '105468750.f.75._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110271
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [41869337815258891606142586765674723362333488570, 1294848838400084264747584, 2481793991075474026801953, 32578253219057901064434387387452843770880735128431560913, 8156060513555468722791320244448486747395372993061248090, 2661115773874322310568275476286160435368248142531398399, 1451520, 9157943146738599338999538072960, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110272
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2661115773874322614755753737387019136050368801475398399, 1938901383840737797689690, 41869337815258891606142586765674723362333488570, 348713981313, 32578253219057901637007088555168026513491713215343560913, 8156060513555468722791320244448486747395372993061248090, 2481793606933306472056353, 9157943146738599338999538072960, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110273
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [1294848966823982304950970, 41869337815258891606142586765674723362333488570, 280217145696, 1938901255416721961981376, 8156060513555468722791320244448486747395372993061248090, 32578253219057901637007088555169317939236987701150146513, 9157943146738599338999538072960, 2661115834530810494463493895235088206876699978435398399, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110274
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [647475510142261503198784, 647475996722663137484256, 41869337815258891606142586765674723362333488570, 93925440064, 2661115792703136235194890842950877552484626131651398399, 8156060513555468722791320244448486747395372993061248090, 9157943146738599338999538072960, 32578253219057901637007088555169965414747129868807496913, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110275
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [2661115834530809582715143919987006177850430266379078399, 41869337815258891606142586765674723362333488570, 128424084332952960, 32578253219057900760263362730755361919139022541319496913, 1938901255416653464345050, 8156060513555468722791320244448486747395372993061248090, 9157943146738599338999538072960, 256806603301248000, 1180931231525464538349282257097258616320], 'label': '105468750.f.225._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110276
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 225, 'diagramx': None, 'generators': [9157943794111927596823776134433, 18315079710452506734403591987264, 93924230433, 8156060513555468722791320244448486747395372993061248090, 1180931205316360357502530417891398245760, 32578253219057901637007088555168026513491713495559496913, 2661115773874322614755753737387019136050368801475398399, 41869337815258891606142586765674723362333488570, 18315079710452763540538908672064], 'label': '105468750.f.225._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '225.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '225._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110278
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '250.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': 25, 'diagramx': None, 'generators': [89759844595542686647827809468367826611349495677894962006, 16261746376204042830569867226422791454585843871041043806, 2720125338365525550897173886644637727574416187655390816, 187769443680, 32578253219057901367824250299098443958730056521154053264, 41869336903510541630893209887297529372902380890, 62762715007740510826399963976050914916320025024, 128424364549931520, 8156060534490509437056208862273820108787024073913976384], 'label': '105468750.f.250.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '250.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '250.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110279
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 1938901512222696333721050, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 9157943146738727721518506368000, 486580495559558400, 348713164896, 608358504148644422803432556330160192000], 'label': '105468750.f.270._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '270.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '270._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110280
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 119622220132753411857767805301894838320979381304369907080, 2481793735357322307129696, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 9157943146738727721518506368000, 486580495559558400, 608358504148644422803432556330160192000], 'label': '105468750.f.450._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '450.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '450._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110281
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [1294849095206407349424513, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370513, 18315079710452635158580373291520, 13784720611499094578625933014108522434475275614571391909], 'label': '105468750.f.75._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110282
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 119622220132753411857767805301894838320979381304369907080, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 62762717442056995917735994571760377559621013744, 9157943146738727721518506368000, 486580495559558400, 608358504148644422803432556330160192000], 'label': '105468750.f.750._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '750._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110283
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 2481793735357322307129696, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 9157943146738727721518506368000, 486580495559558400, 608358504148644422803432556330160192000], 'label': '105468750.f.1350._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1350.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1350._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110284
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 119622220132753411857767805301894838320979381304369907080, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 9157943146738727721518506368000, 486580495559558400, 608358504148644422803432556330160192000], 'label': '105468750.f.2250._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2250.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2250._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110285
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [348714616320, 41869336903510559945972920339804263494880950970, 2720125378087717580534936048061266354142780460181291584, 9157943146738727721518506368000, 486580495559558400, 608358504148644422803432556330160192000], 'label': '105468750.f.6750._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6750._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110286
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15625, 'diagramx': None, 'generators': [10633086320088835821444069661775057735007771876492268833, 2661115813596511307580620362476200466202415628996828175, 3650235868848153441971466339997940552880, 2720125378087716972176405690312554799760094003200000096, 5440183750701865063151181582579615691186736494560432570, 54586611711532193409774427634538589316604716791964214415, 106021590012480788671887755945866322287912607685910156855], 'label': '105468750.f.15625._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '15625._.A', 'old_label': '15625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15625._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110287
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10633086320088835821444069661775057735007771876492268833, 2720125378087716972176405690312554799760094003200000096, 5440183750701865063151181582579615691186736494560432570], 'label': '105468750.f.843750._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '843750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '843750._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110288
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '3906250.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': 390625, 'diagramx': None, 'generators': [119622220090884073728288308854014905829641599200504701490, 18977623201820359674453761884293432319144492092055860479, 103301464734813416659401600254992061379199519245122847389], 'label': '105468750.f.3906250.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3906250.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3906250.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110289
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10633086320088835821444069661775057735007771876492268833, 5440183750701865063151181582579615691186736494560432570], 'label': '105468750.f.4218750._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4218750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4218750._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110290
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5440183750701865974899549872908052225393563222279148890], 'label': '105468750.f.21093750._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21093750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21093750._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110291
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '52734375.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': 28125, 'diagramx': None, 'generators': [86980775823650031932888545110432333398902825596979251806], 'label': '105468750.f.52734375.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3._.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52734375.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52734375.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110292
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 3953625742147779310912911702953402370576, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115855465848211091179045338322335182746668325949429, 13784720630327908807423573037468782502077950097771391909, 1938901639558983361516833, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520], 'label': '105468750.f.75._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110293
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': '105468750.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': '105468750.f.105468750.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105468750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105468750.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110294
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [13784720569671420927715860319571728485499064056171391909, 348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 647475638566506779237760, 20935040445082060716664072943032703385600000096, 3953625742147779310912911702953402370480, 18315079710452635158580373291520], 'label': '105468750.f.75._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110295
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [348714616320, 3953625742147779310912911702953402370570, 1180931196158417210865984580996527736320, 128424084332952960, 13784720590605717386144341233800865429635465771371391909, 5440183729808487870669589802271958685962783948800000000, 2661115855465848211091179045338322335182746668325949429, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 1294849095206407349424570], 'label': '105468750.f.75._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110296
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 64, 2661115855465848211091179045338322335182746668325949429, 5440183729808487870669589802271958685962783948800000000, 20935040445082060716664072943032703385600000096, 3346064862506535127679879845042142802000, 18315079710452635158580373291520, 13784720569671420927715869477514227748332500890830881189], 'label': '105468750.f.75._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110297
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 25, 'diagramx': None, 'generators': [2661115773874322614755753737386371763106253493505638949, 1938901383840645349580250, 348714616320, 59779514404338364658648459983362220172589264923860944655, 81591528324789782592504273698210928706955051553, 911748377415199097083657857549977145600, 8156060513555468115230440603205598363174882429597062490, 35367050456752543175310479030880, 486580750349702400, 87043967730204177810091981839112794505633954614516614455], 'label': '105468750.f.75._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110298
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [348714616320, 1180931196158417210865984580996527736320, 128424084332952960, 5440183729808487870669589802271958685962783948800000000, 2661115834530808374367613319373691138758087396645949429, 3953625742147779310913398283355037698480, 20935040445082060716664072943032703385600000096, 18315079710452635158580373291520, 647475638566251990303360, 13784720569671420927715869477514227748332500890830881189], 'label': '105468750.f.75._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 6110299
    {'ambient': '105468750.f', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75, 'diagramx': None, 'generators': [5440183750701869016776923730358926604200877147037698570, 348714616320, 8156060555424804714553484460143894399745020628149424544, 18977623180886065032731315392251443247983939320171391909, 1180931196158417210865984580996527736320, 128424084332952960, 5440183750701865063151181582579615690802593979768627290, 2720125378087716972176405690312554799760094003200000096, 2661115813596511915939132405144554194621685681445949455, 18315079710452635158580373291520], 'label': '105468750.f.75._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75._.I', 'subgroup_fusion': None, 'weyl_group': None}