Abstract group data - 16384.mu

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 8, 'aut_gen_orders': [4, 4, 4, 8, 4, 8, 4, 4, 4], 'aut_gens': [[1, 2, 8, 16, 64, 128, 512, 2048, 4096], [8353, 6578, 3228, 3216, 1344, 384, 928, 10240, 7328], [11425, 14674, 9660, 2480, 1088, 128, 12128, 10240, 14816], [248, 7526, 11281, 8420, 8256, 10644, 9753, 8212, 15584], [15761, 5606, 5292, 11760, 320, 9632, 6720, 10336, 13664], [14789, 13414, 7544, 2256, 64, 9632, 5824, 10592, 5408], [15836, 12722, 14741, 8612, 320, 10420, 6841, 9332, 5152], [2325, 15634, 11688, 11696, 8256, 384, 928, 2304, 6560], [15592, 9426, 14465, 2084, 9536, 2228, 7865, 8564, 13600], [8353, 13734, 10396, 10384, 1088, 128, 10144, 10240, 15520]], 'aut_group': None, 'aut_hash': 6192927194180501570, 'aut_nilpotency_class': 6, 'aut_nilpotent': True, 'aut_order': 524288, 'aut_permdeg': 384, 'aut_perms': [1527896821126234786626743448109509031789593013787091962695457281330890940422897706444765991619375853499646671517347496833897078544295751266246126734421176607601585909417391820131530786140408341066381512841858170901340885101196197572085959352612420692488256618614495072202524911356179051633643690055915709892440289242665986529410919195559870803021661252819355545026743493564582816669133104442353772244822081054858342134240847601276025953590659873177836031224964918074683172888516774787937829223277799540420907196005497062936168597137231928939098804871495669997730319607682154334157789565901184964851157689759945729999098456012321973867509353448611994923076719332406516773164585886776085828341687602921343277116313671436776541556541147641551685546621325380796833069913324256461833491503597206031728113165615453549951643247959864, 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19117908677426410100662521204627257752662603834693689815924885519989816327666648922977179964343819616654459629799274508170881744845915933773518707507603953395298530768530827510193240698794623621949836000006174319553624805965373602992692582152733311348307343382928654348274392219872720141822620947487806682276916625203897315867782830545485919918731561516662556923049059894625196676925501045261259188847117692891257221697080489956757883228881811431724734493376718427524743460519091683312098368892979731155296935959851862755858427225638537686696789870373920677785823756310403778486519295335466723481113251162625034949698990256324163601566899457097765224062627230935660724975273036010240752802512675382476506591905057396298591767027552027502752567463221874637178943602430025928570495593063423315740907213353261493996708492395675578], 'aut_phi_ratio': 64.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 4, 1, 2], [2, 8, 1, 8], [2, 8, 2, 4], [2, 16, 1, 3], [2, 16, 2, 1], [2, 32, 1, 3], [2, 32, 2, 1], [2, 64, 2, 2], [2, 128, 1, 1], [4, 8, 2, 2], [4, 16, 1, 2], [4, 16, 2, 1], [4, 32, 1, 3], [4, 32, 2, 3], [4, 64, 1, 8], [4, 64, 2, 11], [4, 64, 4, 2], [4, 128, 1, 6], [4, 128, 2, 5], [4, 128, 4, 2], [4, 256, 1, 6], [4, 256, 2, 2], [4, 512, 2, 1], [8, 256, 2, 2], [8, 256, 4, 2], [8, 256, 8, 1], [8, 512, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times C_2^9.C_2^6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 8, 'autcentquo_group': None, 'autcentquo_hash': 1149369064488290784, 'autcentquo_nilpotent': True, 'autcentquo_order': 32768, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^6.C_2^5.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 3], [2, 4, 2], [2, 8, 16], [2, 16, 5], [2, 32, 5], [2, 64, 4], [2, 128, 1], [4, 8, 4], [4, 16, 4], [4, 32, 9], [4, 64, 38], [4, 128, 24], [4, 256, 10], [4, 512, 2], [8, 256, 20], [8, 512, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': None, 'commutator_count': 2, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 14, 'conjugacy_classes_known': True, 'counter': 333, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 4, 1, 2], [2, 8, 1, 16], [2, 16, 1, 5], [2, 32, 1, 5], [2, 64, 1, 4], [2, 128, 1, 1], [4, 8, 1, 4], [4, 16, 1, 4], [4, 32, 1, 5], [4, 32, 2, 2], [4, 64, 1, 30], [4, 64, 2, 4], [4, 128, 1, 16], [4, 128, 2, 4], [4, 256, 1, 10], [4, 512, 1, 2], [8, 256, 1, 8], [8, 256, 2, 6], [8, 512, 1, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': None, 'exponent': 8, 'exponents_of_order': [14], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [[64, 1, 2]], 'familial': False, 'frattini_label': None, 'frattini_quotient': '16.14', 'hash': 4243906216982603733, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 8, 'inner_gen_orders': [4, 8, 4, 4, 2, 2, 4, 2, 4], 'inner_gens': [[1, 7282, 2332, 10416, 8512, 128, 10144, 2304, 7328], [14353, 2, 7480, 9328, 1344, 1440, 12864, 11616, 6592], [8629, 7506, 8, 2224, 1088, 384, 11104, 10240, 7648], [10401, 9314, 2216, 16, 9280, 384, 11200, 10496, 12608], [8449, 1282, 1032, 9232, 64, 384, 9728, 2304, 4352], [1, 1314, 264, 272, 320, 128, 1536, 2048, 5120], [9633, 13634, 2152, 2256, 9280, 1152, 512, 10240, 12288], [257, 9570, 8200, 8464, 320, 128, 8704, 2048, 12288], [3489, 11714, 3560, 8272, 320, 1152, 8704, 10240, 4096]], 'inner_hash': 7434087842928012979, 'inner_nilpotent': True, 'inner_order': 8192, 'inner_split': None, 'inner_tex': 'C_2^5.C_2^4.C_2^4', 'inner_used': [1, 2, 3, 7], 'irrC_degree': 64, 'irrQ_degree': 64, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 16], [2, 44], [4, 52], [8, 16], [16, 20], [32, 1], [64, 2]], 'label': '16384.mu', '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': True, 'name': 'C2^7.C2wrD4', 'ngens': 4, 'nilpotency_class': 7, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 90, 'number_characteristic_subgroups': 211, 'number_conjugacy_classes': 151, 'number_divisions': 135, 'number_normal_subgroups': 377, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 16384, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 767], [4, 9472], [8, 6144]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [0, 1168, 14580, 11513, 0], 'outer_gens': [[1185, 4162, 10600, 2256, 9280, 1152, 1536, 10496, 5376], [7441, 1494, 7288, 48, 8256, 9376, 15296, 11360, 7296], [6161, 14534, 13388, 3472, 64, 1440, 5056, 11360, 4384], [11628, 14566, 10501, 8388, 8256, 10388, 12249, 8212, 7584], [10328, 86, 293, 11332, 9536, 10644, 12269, 20, 12544]], 'outer_group': '64.261', 'outer_hash': 261, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 32, 'outer_perms': [189052009998610694789287444493856095, 26914459208274333286138946030537536, 244014781919659786949844396186155959, 192931002515318010609852800322163183, 66390884177485268902053226749109106], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_2^3', 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 16], [2, 32], [4, 42], [8, 24], [16, 16], [32, 3], [64, 2]], 'representations': {'PC': {'code': '10715740108751599555093307781189588940767873046894885015574743277270136585184349111322893534859415908891061395228591674250330242789285731701554082790281793253141136393666722831329514081399923852182155943458554635557434272044445834788087619809978151781516532064264461733785882196450368707009505340682911', 'gens': [1, 2, 4, 5, 7, 8, 10, 12, 13], 'pres': [14, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 129304, 203897, 71, 103658, 89070, 130595, 209457, 31055, 65453, 729124, 326498, 143672, 19506, 200, 712325, 388435, 6081, 86399, 834182, 65876, 233666, 13376, 56902, 80661, 10787, 5425, 2751, 763, 329, 1420169, 900503, 141157, 194371, 98065, 7919, 21373, 1787, 415, 650520, 49318, 24692, 12386, 387083, 975769, 430119, 215093, 110275, 12177, 6143, 3497, 1333708, 599898, 620296, 174046, 143484, 77250, 12472, 7390, 4506, 1258, 544, 1655821, 100379, 413993, 103557]}, 'Perm': {'d': 128, 'gens': [335627458072367497576202749937076185715029839870945629354338953996409297366333787950028472621700652344567996330725746926467008747306990138573085058173161488316247700373736014337328521765150782679524013569916826608880, 123711669321772055921706585758846858141846634858658060937915637714835903800226295338689937306575394356530482567907070752085233228978684370540952377420131819882939722277479136791338511663994681738962106550919463104476, 190405335654616104875175151442278164995042795889721244056665826524646268910105627150816979288791117218897207249388243333225602550105332467543931513804630983189618301797594714668667828424949072985847187309952148924241, 27473546872396675175536012172601107823872577738977280653430486709842869563526194004189693147956627048792798990379810161210041627971634600569129225411109796892966679215895425022378165179981071513357202218245511799778, 279814515006083116952070613702168553316669549272159813416633881651902107098601289563449198586629771770788272655978144793880324958585239223228167761291029651075867547215797493188078918677864918437130955012237785027429]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 8, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^7.C_2\\wr D_4', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 150039347
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 333, 'group_order': 16384, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
  • id: 150039410
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 333, 'group_order': 16384, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 256, 'size': 1}
  • id: 150039421
    {'aut_label': '2B', 'centralizer': '2.A', 'counter': 3, 'group_counter': 333, 'group_order': 16384, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 9216, 'size': 2}
  • id: 150039432
    {'aut_label': '2C', 'centralizer': '2.B', 'counter': 4, 'group_counter': 333, 'group_order': 16384, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 11284, 'size': 2}
  • id: 150039443
    {'aut_label': '2D', 'centralizer': '2.C', 'counter': 5, 'group_counter': 333, 'group_order': 16384, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 2068, 'size': 2}
  • id: 150039454
    {'aut_label': '2E', 'centralizer': '4.Z', 'counter': 6, 'group_counter': 333, 'group_order': 16384, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 8192, 'size': 4}
  • id: 150039465
    {'aut_label': '2F', 'centralizer': '4.BA', 'counter': 7, 'group_counter': 333, 'group_order': 16384, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 10516, 'size': 4}
  • id: 150039476
    {'aut_label': '2G', 'centralizer': '8.JI', 'counter': 8, 'group_counter': 333, 'group_order': 16384, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 2048, 'size': 8}
  • id: 150039487
    {'aut_label': '2G', 'centralizer': '8.JI', 'counter': 9, 'group_counter': 333, 'group_order': 16384, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 20, 'size': 8}
  • id: 150039348
    {'aut_label': '2I', 'centralizer': '8.CH', 'counter': 10, 'group_counter': 333, 'group_order': 16384, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 2105, 'size': 8}
  • id: 150039359
    {'aut_label': '2J', 'centralizer': '8.CK', 'counter': 11, 'group_counter': 333, 'group_order': 16384, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 10297, 'size': 8}
  • id: 150039370
    {'aut_label': '2K', 'centralizer': '8.IF', 'counter': 12, 'group_counter': 333, 'group_order': 16384, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 352, 'size': 8}
  • id: 150039381
    {'aut_label': '2L', 'centralizer': '8.IU', 'counter': 13, 'group_counter': 333, 'group_order': 16384, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 32, 'size': 8}
  • id: 150039392
    {'aut_label': '2M', 'centralizer': '8.JJ', 'counter': 14, 'group_counter': 333, 'group_order': 16384, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 3328, 'size': 8}
  • id: 150039403
    {'aut_label': '2M', 'centralizer': '8.JJ', 'counter': 15, 'group_counter': 333, 'group_order': 16384, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 1300, 'size': 8}
  • id: 150039406
    {'aut_label': '2O', 'centralizer': '8.JP', 'counter': 16, 'group_counter': 333, 'group_order': 16384, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 3552, 'size': 8}
  • id: 150039407
    {'aut_label': '2O', 'centralizer': '8.JP', 'counter': 17, 'group_counter': 333, 'group_order': 16384, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 10464, 'size': 8}
  • id: 150039408
    {'aut_label': '2Q', 'centralizer': '8.EQ', 'counter': 18, 'group_counter': 333, 'group_order': 16384, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 3412, 'size': 8}
  • id: 150039409
    {'aut_label': '2R', 'centralizer': '8.JP', 'counter': 19, 'group_counter': 333, 'group_order': 16384, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 8436, 'size': 8}
  • id: 150039411
    {'aut_label': '2S', 'centralizer': '8.IU', 'counter': 20, 'group_counter': 333, 'group_order': 16384, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 10548, 'size': 8}
  • id: 150039412
    {'aut_label': '2T', 'centralizer': '8.EP', 'counter': 21, 'group_counter': 333, 'group_order': 16384, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 1088, 'size': 8}
  • id: 150039413
    {'aut_label': '2R', 'centralizer': '8.JP', 'counter': 22, 'group_counter': 333, 'group_order': 16384, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 436, 'size': 8}
  • id: 150039414
    {'aut_label': '2V', 'centralizer': '8.IF', 'counter': 23, 'group_counter': 333, 'group_order': 16384, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 11380, 'size': 8}
  • id: 150039415
    {'aut_label': '2W', 'centralizer': None, 'counter': 24, 'group_counter': 333, 'group_order': 16384, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 192, 'size': 16}
  • id: 150039416
    {'aut_label': '2X', 'centralizer': None, 'counter': 25, 'group_counter': 333, 'group_order': 16384, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 2073, 'size': 16}
  • id: 150039417
    {'aut_label': '2W', 'centralizer': None, 'counter': 26, 'group_counter': 333, 'group_order': 16384, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 2260, 'size': 16}
  • id: 150039418
    {'aut_label': '2Z', 'centralizer': None, 'counter': 27, 'group_counter': 333, 'group_order': 16384, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 2137, 'size': 16}
  • id: 150039419
    {'aut_label': '2AA', 'centralizer': None, 'counter': 28, 'group_counter': 333, 'group_order': 16384, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 2169, 'size': 16}
  • id: 150039420
    {'aut_label': '2AB', 'centralizer': None, 'counter': 29, 'group_counter': 333, 'group_order': 16384, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 13, 'size': 32}
  • id: 150039422
    {'aut_label': '2AC', 'centralizer': None, 'counter': 30, 'group_counter': 333, 'group_order': 16384, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 89, 'size': 32}
  • id: 150039423
    {'aut_label': '2AD', 'centralizer': None, 'counter': 31, 'group_counter': 333, 'group_order': 16384, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 2125, 'size': 32}
  • id: 150039424
    {'aut_label': '2AE', 'centralizer': None, 'counter': 32, 'group_counter': 333, 'group_order': 16384, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 15860, 'size': 32}
  • id: 150039425
    {'aut_label': '2AE', 'centralizer': None, 'counter': 33, 'group_counter': 333, 'group_order': 16384, 'label': '2AF', 'order': 2, 'powers': [1], 'representative': 6208, 'size': 32}
  • id: 150039426
    {'aut_label': '2AG', 'centralizer': None, 'counter': 34, 'group_counter': 333, 'group_order': 16384, 'label': '2AG', 'order': 2, 'powers': [1], 'representative': 596, 'size': 64}
  • id: 150039427
    {'aut_label': '2AG', 'centralizer': None, 'counter': 35, 'group_counter': 333, 'group_order': 16384, 'label': '2AH', 'order': 2, 'powers': [1], 'representative': 665, 'size': 64}
  • id: 150039428
    {'aut_label': '2AI', 'centralizer': None, 'counter': 36, 'group_counter': 333, 'group_order': 16384, 'label': '2AI', 'order': 2, 'powers': [1], 'representative': 10755, 'size': 64}
  • id: 150039429
    {'aut_label': '2AI', 'centralizer': None, 'counter': 37, 'group_counter': 333, 'group_order': 16384, 'label': '2AJ', 'order': 2, 'powers': [1], 'representative': 3587, 'size': 64}
  • id: 150039430
    {'aut_label': '2AK', 'centralizer': None, 'counter': 38, 'group_counter': 333, 'group_order': 16384, 'label': '2AK', 'order': 2, 'powers': [1], 'representative': 6664, 'size': 128}
  • id: 150039431
    {'aut_label': '4A', 'centralizer': '8.BI', 'counter': 39, 'group_counter': 333, 'group_order': 16384, 'label': '4A', 'order': 4, 'powers': [2], 'representative': 10676, 'size': 8}
  • id: 150039433
    {'aut_label': '4B', 'centralizer': '8.BJ', 'counter': 40, 'group_counter': 333, 'group_order': 16384, 'label': '4B', 'order': 4, 'powers': [2], 'representative': 160, 'size': 8}
  • id: 150039434
    {'aut_label': '4A', 'centralizer': '8.BI', 'counter': 41, 'group_counter': 333, 'group_order': 16384, 'label': '4C', 'order': 4, 'powers': [2], 'representative': 9632, 'size': 8}
  • id: 150039435
    {'aut_label': '4B', 'centralizer': '8.BJ', 'counter': 42, 'group_counter': 333, 'group_order': 16384, 'label': '4D', 'order': 4, 'powers': [2], 'representative': 3476, 'size': 8}
  • id: 150039436
    {'aut_label': '4E', 'centralizer': None, 'counter': 43, 'group_counter': 333, 'group_order': 16384, 'label': '4E', 'order': 4, 'powers': [2], 'representative': 2176, 'size': 16}
  • id: 150039437
    {'aut_label': '4F', 'centralizer': None, 'counter': 44, 'group_counter': 333, 'group_order': 16384, 'label': '4F', 'order': 4, 'powers': [2], 'representative': 2112, 'size': 16}
  • id: 150039438
    {'aut_label': '4G', 'centralizer': None, 'counter': 45, 'group_counter': 333, 'group_order': 16384, 'label': '4G', 'order': 4, 'powers': [2], 'representative': 148, 'size': 16}
  • id: 150039439
    {'aut_label': '4F', 'centralizer': None, 'counter': 46, 'group_counter': 333, 'group_order': 16384, 'label': '4H', 'order': 4, 'powers': [2], 'representative': 84, 'size': 16}
  • id: 150039440
    {'aut_label': '4I', 'centralizer': None, 'counter': 47, 'group_counter': 333, 'group_order': 16384, 'label': '4I', 'order': 4, 'powers': [2], 'representative': 25, 'size': 32}
  • id: 150039441
    {'aut_label': '4J', 'centralizer': None, 'counter': 48, 'group_counter': 333, 'group_order': 16384, 'label': '4J', 'order': 4, 'powers': [2], 'representative': 2061, 'size': 32}
  • id: 150039442
    {'aut_label': '4K', 'centralizer': None, 'counter': 49, 'group_counter': 333, 'group_order': 16384, 'label': '4K', 'order': 4, 'powers': [2], 'representative': 45, 'size': 32}
  • id: 150039444
    {'aut_label': '4L', 'centralizer': None, 'counter': 50, 'group_counter': 333, 'group_order': 16384, 'label': '4L', 'order': 4, 'powers': [3], 'representative': 4544, 'size': 32}
  • id: 150039445
    {'aut_label': '4L', 'centralizer': None, 'counter': 51, 'group_counter': 333, 'group_order': 16384, 'label': '4M', 'order': 4, 'powers': [3], 'representative': 4148, 'size': 32}
  • id: 150039446
    {'aut_label': '4N1', 'centralizer': None, 'counter': 52, 'group_counter': 333, 'group_order': 16384, 'label': '4N1', 'order': 4, 'powers': [12], 'representative': 6160, 'size': 32}
  • id: 150039447
    {'aut_label': '4N1', 'centralizer': None, 'counter': 53, 'group_counter': 333, 'group_order': 16384, 'label': '4N-1', 'order': 4, 'powers': [12], 'representative': 6192, 'size': 32}
  • id: 150039448
    {'aut_label': '4O1', 'centralizer': None, 'counter': 54, 'group_counter': 333, 'group_order': 16384, 'label': '4O1', 'order': 4, 'powers': [12], 'representative': 7332, 'size': 32}
  • id: 150039449
    {'aut_label': '4O1', 'centralizer': None, 'counter': 55, 'group_counter': 333, 'group_order': 16384, 'label': '4O-1', 'order': 4, 'powers': [12], 'representative': 15812, 'size': 32}
  • id: 150039450
    {'aut_label': '4P', 'centralizer': None, 'counter': 56, 'group_counter': 333, 'group_order': 16384, 'label': '4P', 'order': 4, 'powers': [6], 'representative': 4096, 'size': 64}
  • id: 150039451
    {'aut_label': '4Q', 'centralizer': None, 'counter': 57, 'group_counter': 333, 'group_order': 16384, 'label': '4Q', 'order': 4, 'powers': [6], 'representative': 512, 'size': 64}
  • id: 150039452
    {'aut_label': '4R', 'centralizer': None, 'counter': 58, 'group_counter': 333, 'group_order': 16384, 'label': '4R', 'order': 4, 'powers': [13], 'representative': 16, 'size': 64}
  • id: 150039453
    {'aut_label': '4S', 'centralizer': None, 'counter': 59, 'group_counter': 333, 'group_order': 16384, 'label': '4S', 'order': 4, 'powers': [6], 'representative': 4608, 'size': 64}
  • id: 150039455
    {'aut_label': '4T', 'centralizer': None, 'counter': 60, 'group_counter': 333, 'group_order': 16384, 'label': '4T', 'order': 4, 'powers': [3], 'representative': 2560, 'size': 64}
  • id: 150039456
    {'aut_label': '4U', 'centralizer': None, 'counter': 61, 'group_counter': 333, 'group_order': 16384, 'label': '4U', 'order': 4, 'powers': [2], 'representative': 640, 'size': 64}
  • id: 150039457
    {'aut_label': '4V', 'centralizer': None, 'counter': 62, 'group_counter': 333, 'group_order': 16384, 'label': '4V', 'order': 4, 'powers': [12], 'representative': 4112, 'size': 64}
  • id: 150039458
    {'aut_label': '4W', 'centralizer': None, 'counter': 63, 'group_counter': 333, 'group_order': 16384, 'label': '4W', 'order': 4, 'powers': [13], 'representative': 2064, 'size': 64}
  • id: 150039459
    {'aut_label': '4X', 'centralizer': None, 'counter': 64, 'group_counter': 333, 'group_order': 16384, 'label': '4X', 'order': 4, 'powers': [14], 'representative': 24, 'size': 64}
  • id: 150039460
    {'aut_label': '4R', 'centralizer': None, 'counter': 65, 'group_counter': 333, 'group_order': 16384, 'label': '4Y', 'order': 4, 'powers': [13], 'representative': 2052, 'size': 64}
  • id: 150039461
    {'aut_label': '4X', 'centralizer': None, 'counter': 66, 'group_counter': 333, 'group_order': 16384, 'label': '4Z', 'order': 4, 'powers': [15], 'representative': 65, 'size': 64}
  • id: 150039462
    {'aut_label': '4X', 'centralizer': None, 'counter': 67, 'group_counter': 333, 'group_order': 16384, 'label': '4AA', 'order': 4, 'powers': [14], 'representative': 2072, 'size': 64}
  • id: 150039463
    {'aut_label': '4V', 'centralizer': None, 'counter': 68, 'group_counter': 333, 'group_order': 16384, 'label': '4AB', 'order': 4, 'powers': [12], 'representative': 6148, 'size': 64}
  • id: 150039464
    {'aut_label': '4AC', 'centralizer': None, 'counter': 69, 'group_counter': 333, 'group_order': 16384, 'label': '4AC', 'order': 4, 'powers': [3], 'representative': 532, 'size': 64}
  • id: 150039466
    {'aut_label': '4X', 'centralizer': None, 'counter': 70, 'group_counter': 333, 'group_order': 16384, 'label': '4AD', 'order': 4, 'powers': [15], 'representative': 2113, 'size': 64}
  • id: 150039467
    {'aut_label': '4AE', 'centralizer': None, 'counter': 71, 'group_counter': 333, 'group_order': 16384, 'label': '4AE', 'order': 4, 'powers': [6], 'representative': 6164, 'size': 64}
  • id: 150039468
    {'aut_label': '4AF', 'centralizer': None, 'counter': 72, 'group_counter': 333, 'group_order': 16384, 'label': '4AF', 'order': 4, 'powers': [6], 'representative': 4628, 'size': 64}
  • id: 150039469
    {'aut_label': '4AG', 'centralizer': None, 'counter': 73, 'group_counter': 333, 'group_order': 16384, 'label': '4AG', 'order': 4, 'powers': [6], 'representative': 2580, 'size': 64}
  • id: 150039470
    {'aut_label': '4AH', 'centralizer': None, 'counter': 74, 'group_counter': 333, 'group_order': 16384, 'label': '4AH', 'order': 4, 'powers': [3], 'representative': 4121, 'size': 64}
  • id: 150039471
    {'aut_label': '4Q', 'centralizer': None, 'counter': 75, 'group_counter': 333, 'group_order': 16384, 'label': '4AI', 'order': 4, 'powers': [6], 'representative': 537, 'size': 64}
  • id: 150039472
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 76, 'group_counter': 333, 'group_order': 16384, 'label': '4AJ', 'order': 4, 'powers': [6], 'representative': 4109, 'size': 64}
  • id: 150039473
    {'aut_label': '4U', 'centralizer': None, 'counter': 77, 'group_counter': 333, 'group_order': 16384, 'label': '4AK', 'order': 4, 'powers': [2], 'representative': 525, 'size': 64}
  • id: 150039474
    {'aut_label': '4AL', 'centralizer': None, 'counter': 78, 'group_counter': 333, 'group_order': 16384, 'label': '4AL', 'order': 4, 'powers': [6], 'representative': 6169, 'size': 64}
  • id: 150039475
    {'aut_label': '4AC', 'centralizer': None, 'counter': 79, 'group_counter': 333, 'group_order': 16384, 'label': '4AM', 'order': 4, 'powers': [3], 'representative': 2585, 'size': 64}
  • id: 150039477
    {'aut_label': '4S', 'centralizer': None, 'counter': 80, 'group_counter': 333, 'group_order': 16384, 'label': '4AN', 'order': 4, 'powers': [6], 'representative': 601, 'size': 64}
  • id: 150039478
    {'aut_label': '4AO', 'centralizer': None, 'counter': 81, 'group_counter': 333, 'group_order': 16384, 'label': '4AO', 'order': 4, 'powers': [2], 'representative': 4153, 'size': 64}
  • id: 150039479
    {'aut_label': '4AF', 'centralizer': None, 'counter': 82, 'group_counter': 333, 'group_order': 16384, 'label': '4AP', 'order': 4, 'powers': [6], 'representative': 2573, 'size': 64}
  • id: 150039480
    {'aut_label': '4AG', 'centralizer': None, 'counter': 83, 'group_counter': 333, 'group_order': 16384, 'label': '4AQ', 'order': 4, 'powers': [6], 'representative': 653, 'size': 64}
  • id: 150039481
    {'aut_label': '4T', 'centralizer': None, 'counter': 84, 'group_counter': 333, 'group_order': 16384, 'label': '4AR', 'order': 4, 'powers': [3], 'representative': 589, 'size': 64}
  • id: 150039482
    {'aut_label': '4AS', 'centralizer': None, 'counter': 85, 'group_counter': 333, 'group_order': 16384, 'label': '4AS', 'order': 4, 'powers': [13], 'representative': 11748, 'size': 64}
  • id: 150039483
    {'aut_label': '4AT1', 'centralizer': None, 'counter': 86, 'group_counter': 333, 'group_order': 16384, 'label': '4AT1', 'order': 4, 'powers': [15], 'representative': 129, 'size': 64}
  • id: 150039484
    {'aut_label': '4AT1', 'centralizer': None, 'counter': 87, 'group_counter': 333, 'group_order': 16384, 'label': '4AT-1', 'order': 4, 'powers': [15], 'representative': 1153, 'size': 64}
  • id: 150039485
    {'aut_label': '4AU1', 'centralizer': None, 'counter': 88, 'group_counter': 333, 'group_order': 16384, 'label': '4AU1', 'order': 4, 'powers': [13], 'representative': 9, 'size': 64}
  • id: 150039486
    {'aut_label': '4AU1', 'centralizer': None, 'counter': 89, 'group_counter': 333, 'group_order': 16384, 'label': '4AU-1', 'order': 4, 'powers': [13], 'representative': 41, 'size': 64}
  • id: 150039488
    {'aut_label': '4AT1', 'centralizer': None, 'counter': 90, 'group_counter': 333, 'group_order': 16384, 'label': '4AV1', 'order': 4, 'powers': [14], 'representative': 4136, 'size': 64}
  • id: 150039489
    {'aut_label': '4AT1', 'centralizer': None, 'counter': 91, 'group_counter': 333, 'group_order': 16384, 'label': '4AV-1', 'order': 4, 'powers': [14], 'representative': 6216, 'size': 64}
  • id: 150039490
    {'aut_label': '4AW1', 'centralizer': None, 'counter': 92, 'group_counter': 333, 'group_order': 16384, 'label': '4AW1', 'order': 4, 'powers': [12], 'representative': 4105, 'size': 64}
  • id: 150039491
    {'aut_label': '4AW1', 'centralizer': None, 'counter': 93, 'group_counter': 333, 'group_order': 16384, 'label': '4AW-1', 'order': 4, 'powers': [12], 'representative': 4137, 'size': 64}
  • id: 150039492
    {'aut_label': '4AX', 'centralizer': None, 'counter': 94, 'group_counter': 333, 'group_order': 16384, 'label': '4AX', 'order': 4, 'powers': [15], 'representative': 1, 'size': 128}
  • id: 150039493
    {'aut_label': '4AX', 'centralizer': None, 'counter': 95, 'group_counter': 333, 'group_order': 16384, 'label': '4AY', 'order': 4, 'powers': [14], 'representative': 4104, 'size': 128}
  • id: 150039494
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 96, 'group_counter': 333, 'group_order': 16384, 'label': '4AZ', 'order': 4, 'powers': [14], 'representative': 12, 'size': 128}
  • id: 150039495
    {'aut_label': '4BA', 'centralizer': None, 'counter': 97, 'group_counter': 333, 'group_order': 16384, 'label': '4BA', 'order': 4, 'powers': [6], 'representative': 4616, 'size': 128}
  • id: 150039496
    {'aut_label': '4BB', 'centralizer': None, 'counter': 98, 'group_counter': 333, 'group_order': 16384, 'label': '4BB', 'order': 4, 'powers': [7], 'representative': 4609, 'size': 128}
  • id: 150039497
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 99, 'group_counter': 333, 'group_order': 16384, 'label': '4BC', 'order': 4, 'powers': [15], 'representative': 193, 'size': 128}
  • id: 150039349
    {'aut_label': '4BD', 'centralizer': None, 'counter': 100, 'group_counter': 333, 'group_order': 16384, 'label': '4BD', 'order': 4, 'powers': [13], 'representative': 2057, 'size': 128}
  • id: 150039350
    {'aut_label': '4BA', 'centralizer': None, 'counter': 101, 'group_counter': 333, 'group_order': 16384, 'label': '4BE', 'order': 4, 'powers': [6], 'representative': 5640, 'size': 128}
  • id: 150039351
    {'aut_label': '4BF', 'centralizer': None, 'counter': 102, 'group_counter': 333, 'group_order': 16384, 'label': '4BF', 'order': 4, 'powers': [4], 'representative': 4618, 'size': 128}
  • id: 150039352
    {'aut_label': '4BG', 'centralizer': None, 'counter': 103, 'group_counter': 333, 'group_order': 16384, 'label': '4BG', 'order': 4, 'powers': [5], 'representative': 650, 'size': 128}
  • id: 150039353
    {'aut_label': '4BB', 'centralizer': None, 'counter': 104, 'group_counter': 333, 'group_order': 16384, 'label': '4BH', 'order': 4, 'powers': [7], 'representative': 12801, 'size': 128}
  • id: 150039354
    {'aut_label': '4BI', 'centralizer': None, 'counter': 105, 'group_counter': 333, 'group_order': 16384, 'label': '4BI', 'order': 4, 'powers': [4], 'representative': 4673, 'size': 128}
  • id: 150039355
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 106, 'group_counter': 333, 'group_order': 16384, 'label': '4BJ', 'order': 4, 'powers': [12], 'representative': 6153, 'size': 128}
  • id: 150039356
    {'aut_label': '4BK', 'centralizer': None, 'counter': 107, 'group_counter': 333, 'group_order': 16384, 'label': '4BK', 'order': 4, 'powers': [3], 'representative': 2563, 'size': 128}
  • id: 150039357
    {'aut_label': '4BL', 'centralizer': None, 'counter': 108, 'group_counter': 333, 'group_order': 16384, 'label': '4BL', 'order': 4, 'powers': [2], 'representative': 7688, 'size': 128}
  • id: 150039358
    {'aut_label': '4BI', 'centralizer': None, 'counter': 109, 'group_counter': 333, 'group_order': 16384, 'label': '4BM', 'order': 4, 'powers': [4], 'representative': 12865, 'size': 128}
  • id: 150039360
    {'aut_label': '4BN1', 'centralizer': None, 'counter': 110, 'group_counter': 333, 'group_order': 16384, 'label': '4BN1', 'order': 4, 'powers': [16], 'representative': 528, 'size': 128}
  • id: 150039361
    {'aut_label': '4BN1', 'centralizer': None, 'counter': 111, 'group_counter': 333, 'group_order': 16384, 'label': '4BN-1', 'order': 4, 'powers': [16], 'representative': 4624, 'size': 128}
  • id: 150039362
    {'aut_label': '4BO1', 'centralizer': None, 'counter': 112, 'group_counter': 333, 'group_order': 16384, 'label': '4BO1', 'order': 4, 'powers': [16], 'representative': 516, 'size': 128}
  • id: 150039363
    {'aut_label': '4BO1', 'centralizer': None, 'counter': 113, 'group_counter': 333, 'group_order': 16384, 'label': '4BO-1', 'order': 4, 'powers': [16], 'representative': 548, 'size': 128}
  • id: 150039364
    {'aut_label': '4BO1', 'centralizer': None, 'counter': 114, 'group_counter': 333, 'group_order': 16384, 'label': '4BP1', 'order': 4, 'powers': [17], 'representative': 521, 'size': 128}
  • id: 150039365
    {'aut_label': '4BO1', 'centralizer': None, 'counter': 115, 'group_counter': 333, 'group_order': 16384, 'label': '4BP-1', 'order': 4, 'powers': [17], 'representative': 553, 'size': 128}
  • id: 150039366
    {'aut_label': '4BN1', 'centralizer': None, 'counter': 116, 'group_counter': 333, 'group_order': 16384, 'label': '4BQ1', 'order': 4, 'powers': [17], 'representative': 2569, 'size': 128}
  • id: 150039367
    {'aut_label': '4BN1', 'centralizer': None, 'counter': 117, 'group_counter': 333, 'group_order': 16384, 'label': '4BQ-1', 'order': 4, 'powers': [17], 'representative': 6665, 'size': 128}
  • id: 150039368
    {'aut_label': '4BR', 'centralizer': None, 'counter': 118, 'group_counter': 333, 'group_order': 16384, 'label': '4BR', 'order': 4, 'powers': [12], 'representative': 8963, 'size': 256}
  • id: 150039369
    {'aut_label': '4BS', 'centralizer': None, 'counter': 119, 'group_counter': 333, 'group_order': 16384, 'label': '4BS', 'order': 4, 'powers': [18], 'representative': 16330, 'size': 256}
  • id: 150039371
    {'aut_label': '4BT', 'centralizer': None, 'counter': 120, 'group_counter': 333, 'group_order': 16384, 'label': '4BT', 'order': 4, 'powers': [19], 'representative': 741, 'size': 256}
  • id: 150039372
    {'aut_label': '4BU', 'centralizer': None, 'counter': 121, 'group_counter': 333, 'group_order': 16384, 'label': '4BU', 'order': 4, 'powers': [13], 'representative': 1687, 'size': 256}
  • id: 150039373
    {'aut_label': '4BV', 'centralizer': None, 'counter': 122, 'group_counter': 333, 'group_order': 16384, 'label': '4BV', 'order': 4, 'powers': [20], 'representative': 5870, 'size': 256}
  • id: 150039374
    {'aut_label': '4BW', 'centralizer': None, 'counter': 123, 'group_counter': 333, 'group_order': 16384, 'label': '4BW', 'order': 4, 'powers': [21], 'representative': 1955, 'size': 256}
  • id: 150039375
    {'aut_label': '4BX', 'centralizer': None, 'counter': 124, 'group_counter': 333, 'group_order': 16384, 'label': '4BX', 'order': 4, 'powers': [17], 'representative': 2568, 'size': 256}
  • id: 150039376
    {'aut_label': '4BT', 'centralizer': None, 'counter': 125, 'group_counter': 333, 'group_order': 16384, 'label': '4BY', 'order': 4, 'powers': [22], 'representative': 12181, 'size': 256}
  • id: 150039377
    {'aut_label': '4BZ', 'centralizer': None, 'counter': 126, 'group_counter': 333, 'group_order': 16384, 'label': '4BZ', 'order': 4, 'powers': [23], 'representative': 15294, 'size': 256}
  • id: 150039378
    {'aut_label': '4BX', 'centralizer': None, 'counter': 127, 'group_counter': 333, 'group_order': 16384, 'label': '4CA', 'order': 4, 'powers': [16], 'representative': 10012, 'size': 256}
  • id: 150039379
    {'aut_label': '4CB', 'centralizer': None, 'counter': 128, 'group_counter': 333, 'group_order': 16384, 'label': '4CB', 'order': 4, 'powers': [32], 'representative': 8382, 'size': 512}
  • id: 150039380
    {'aut_label': '4CB', 'centralizer': None, 'counter': 129, 'group_counter': 333, 'group_order': 16384, 'label': '4CC', 'order': 4, 'powers': [33], 'representative': 135, 'size': 512}
  • id: 150039382
    {'aut_label': '8A', 'centralizer': None, 'counter': 130, 'group_counter': 333, 'group_order': 16384, 'label': '8A', 'order': 8, 'powers': [39], 'representative': 5557, 'size': 256}
  • id: 150039383
    {'aut_label': '8B', 'centralizer': None, 'counter': 131, 'group_counter': 333, 'group_order': 16384, 'label': '8B', 'order': 8, 'powers': [40], 'representative': 14456, 'size': 256}
  • id: 150039384
    {'aut_label': '8C', 'centralizer': None, 'counter': 132, 'group_counter': 333, 'group_order': 16384, 'label': '8C', 'order': 8, 'powers': [85], 'representative': 7647, 'size': 256}
  • id: 150039385
    {'aut_label': '8C', 'centralizer': None, 'counter': 133, 'group_counter': 333, 'group_order': 16384, 'label': '8D', 'order': 8, 'powers': [85], 'representative': 5259, 'size': 256}
  • id: 150039386
    {'aut_label': '8C', 'centralizer': None, 'counter': 134, 'group_counter': 333, 'group_order': 16384, 'label': '8E', 'order': 8, 'powers': [85], 'representative': 9487, 'size': 256}
  • id: 150039387
    {'aut_label': '8C', 'centralizer': None, 'counter': 135, 'group_counter': 333, 'group_order': 16384, 'label': '8F', 'order': 8, 'powers': [85], 'representative': 3423, 'size': 256}
  • id: 150039388
    {'aut_label': '8A', 'centralizer': None, 'counter': 136, 'group_counter': 333, 'group_order': 16384, 'label': '8G', 'order': 8, 'powers': [41], 'representative': 4204, 'size': 256}
  • id: 150039389
    {'aut_label': '8B', 'centralizer': None, 'counter': 137, 'group_counter': 333, 'group_order': 16384, 'label': '8H', 'order': 8, 'powers': [42], 'representative': 2053, 'size': 256}
  • id: 150039390
    {'aut_label': '8I1', 'centralizer': None, 'counter': 138, 'group_counter': 333, 'group_order': 16384, 'label': '8I1', 'order': 8, 'powers': [85], 'representative': 14534, 'size': 256}
  • id: 150039391
    {'aut_label': '8I1', 'centralizer': None, 'counter': 139, 'group_counter': 333, 'group_order': 16384, 'label': '8I-1', 'order': 8, 'powers': [85], 'representative': 5474, 'size': 256}
  • id: 150039393
    {'aut_label': '8J1', 'centralizer': None, 'counter': 140, 'group_counter': 333, 'group_order': 16384, 'label': '8J1', 'order': 8, 'powers': [54], 'representative': 1887, 'size': 256}
  • id: 150039394
    {'aut_label': '8J1', 'centralizer': None, 'counter': 141, 'group_counter': 333, 'group_order': 16384, 'label': '8J-1', 'order': 8, 'powers': [55], 'representative': 7131, 'size': 256}
  • id: 150039395
    {'aut_label': '8J1', 'centralizer': None, 'counter': 142, 'group_counter': 333, 'group_order': 16384, 'label': '8K1', 'order': 8, 'powers': [54], 'representative': 930, 'size': 256}
  • id: 150039396
    {'aut_label': '8J1', 'centralizer': None, 'counter': 143, 'group_counter': 333, 'group_order': 16384, 'label': '8K-1', 'order': 8, 'powers': [55], 'representative': 6758, 'size': 256}
  • id: 150039397
    {'aut_label': '8I1', 'centralizer': None, 'counter': 144, 'group_counter': 333, 'group_order': 16384, 'label': '8L1', 'order': 8, 'powers': [85], 'representative': 15570, 'size': 256}
  • id: 150039398
    {'aut_label': '8I1', 'centralizer': None, 'counter': 145, 'group_counter': 333, 'group_order': 16384, 'label': '8L-1', 'order': 8, 'powers': [85], 'representative': 4406, 'size': 256}
  • id: 150039399
    {'aut_label': '8J1', 'centralizer': None, 'counter': 146, 'group_counter': 333, 'group_order': 16384, 'label': '8M1', 'order': 8, 'powers': [55], 'representative': 9762, 'size': 256}
  • id: 150039400
    {'aut_label': '8J1', 'centralizer': None, 'counter': 147, 'group_counter': 333, 'group_order': 16384, 'label': '8M-1', 'order': 8, 'powers': [54], 'representative': 7110, 'size': 256}
  • id: 150039401
    {'aut_label': '8J1', 'centralizer': None, 'counter': 148, 'group_counter': 333, 'group_order': 16384, 'label': '8N1', 'order': 8, 'powers': [55], 'representative': 2895, 'size': 256}
  • id: 150039402
    {'aut_label': '8J1', 'centralizer': None, 'counter': 149, 'group_counter': 333, 'group_order': 16384, 'label': '8N-1', 'order': 8, 'powers': [54], 'representative': 6955, 'size': 256}
  • id: 150039404
    {'aut_label': '8O', 'centralizer': None, 'counter': 150, 'group_counter': 333, 'group_order': 16384, 'label': '8O', 'order': 8, 'powers': [50], 'representative': 6339, 'size': 512}
  • id: 150039405
    {'aut_label': '8O', 'centralizer': None, 'counter': 151, 'group_counter': 333, 'group_order': 16384, 'label': '8P', 'order': 8, 'powers': [51], 'representative': 8634, 'size': 512}
• group 16384.mu does not appear in gps_qchar
• group 16384.mu 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: 151708995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16384, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '16384.mu.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16384.mu', 'subgroup_hash': 4243906216982603733, 'subgroup_order': 16384, 'subgroup_tex': 'C_2^7.C_2\\wr D_4', 'supersolvable': True, 'sylow': 2}
  • id: 151709106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2256352178749398880, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9195087871775969578, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^5.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2333034820961160978, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^5.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6669140544431077856, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 583176818133669239, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6904006439899196519, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6242260575818593167, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4714547099445124298, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151708996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3435068603608970312, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2116796593976820530, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7022986048801332539, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 727686874942234975, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2308679712304140064, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1738190366079638014, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3660043044430463624, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6178690068806898579, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8511350365924279934, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3193458465736204761, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 30077764345811935, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5840490659074258131, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1834075233068528490, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5636031699407541507, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 123248231081403682, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7574380913231295970, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9129674664013217994, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8926617796826620191, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8926617796826620191, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 255909296651265335, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6447772886835516786, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4388782825980211258, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 181305590826584529, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 181305590826584529, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5296061667680193608, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9114614969621172705, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8084972537772492, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6324654818215297032, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8038699434407580224, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2597346163490022908, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6963495484246208903, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6805800516267014678, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 231216786871141700, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3054829833823620351, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3108856860295376067, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2638296821191845513, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3119930834469798674, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2141180993549737443, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6926699326270821873, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4067857634538994432, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8705034251020725389, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3393176241941277598, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7366855851666297000, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2846371236459224377, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8271855827475915359, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3430332342517159638, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 512552130074207600, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8838924795533854115, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7607194509190782436, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2993568696488838566, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1646454643616411388, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6917464866835083576, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1918878664427075771, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7984228024647620293, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7605122473105659314, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 982444381387794313, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8573699335491763879, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 510551138818698403, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2134599869382947114, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4910167630248158708, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 691753147841615218, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3462168562033418858, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6832494951839471906, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7075335461945750578, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7233662190044801258, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9206752583870883974, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7380909399344438447, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4775623891730116286, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^3.C_2^2:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 769231173030253281, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1726785905801799335, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 12240225264830186, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4875413954404734992, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2537638309073561336, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2607747188618735691, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7089381595316157327, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1569500869943819427, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5759666338167971011, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5759666338167971011, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2430195888607321437, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5090159959326202378, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 295179465683221952, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2403742287228358477, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991083278103793956, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4711335343425977718, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5715933069072895114, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5715933069072895114, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8663929687008410903, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 344618985276541772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8497562319455171607, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7174386621650372918, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151708997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2097308041564897960, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151708998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6971354322302911613, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151708999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5348805824766481434, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4252950989624522109, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4672178197781835662, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8406402932451234125, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4302335633383880772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6550107831201484428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2648177334070924310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4565999526230292132, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 660054114561358799, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8844365590067055176, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1836278460134416273, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3964593765637215890, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7120501477460331598, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8304673801830090258, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7395963700531824628, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7962839355197013291, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 229212518071170210, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1474592008892096319, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4829630340118612839, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8576912869025429628, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8130999808606176919, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8863603922103060605, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3478138766812251927, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1653017202838007580, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5098858109152123421, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 960274348404102174, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 649682791136732257, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6289862236652415483, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2004534060327084515, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1214656699036194993, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4565839686870982602, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4556298565124911291, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4779515326271757642, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5690811290323091508, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2579301832174236201, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8657174926750377271, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2495018345768139175, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1604050567036883540, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7272081132569815176, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2120128686749051752, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 84984791277335404, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5089915655469655558, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2803741208397687667, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4937624401148893428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1210893480559601024, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8268897461629280171, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3891923051913171164, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6018558079127157795, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8888419172702432966, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1641171980931979711, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991083278103793956, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2141430587991449202, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3027619803952745350, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8552035134949228714, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 349320882348686995, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1577695141682808925, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2039244803951122099, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3839732644585507055, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4965112997888566258, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4965112997888566258, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4553458301733904600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3732312308205692897, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.diB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6542226407157999337, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.diC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6377886056865800081, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 123389846979021514, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3732312308205692897, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 756827586867276871, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5815379771529089294, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6957852375010309895, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8781546762087821425, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 584223811886451522, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7037943995404341973, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.drB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7037943995404341973, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.drC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 584223811886451522, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1496479940573435316, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6957852375010309895, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8062511768889751093, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5220203304026631135, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6505432734877569389, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5220203304026631135, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3736411337097755505, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 54018198725286994, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3863816000075233914, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1420807265645103779, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3157089358080205089, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6647661447910226837, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8433538191896640540, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7717289932190586335, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6550107831201484428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8646013110778743212, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2624714489545877872, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2624714489545877872, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2060507881571120741, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4916335227022110472, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 350499327098306360, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1579989930034818006, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6440271458229763498, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5123581588011024522, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5123581588011024522, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5759255737687720488, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2536077181082027751, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2059584848741750580, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2059584848741750580, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3790068737106366589, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4156939496854921630, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3790068737106366589, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8074159348875179984, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4416047165938744763, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5858899136635447067, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4004254172258013991, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4004254172258013991, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 735632923629184247, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2033626399816330104, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2033626399816330104, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6996455823976071248, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6996455823976071248, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7507303304757786278, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4252950989624522109, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2444375458230647723, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 84984791277335404, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6858601855524500136, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6258012036081525216, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068555364061724509, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068555364061724509, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8268897461629280171, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 261633627746171989, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 261633627746171989, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4711335343425977718, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8406402932451234125, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5715933069072895114, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4101981313841196268, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5753831221186791878, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5556484050188722777, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8049086353066466991, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7123591897331254682, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6551962135006706708, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6551962135006706708, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6622328506432029240, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6622328506432029240, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2365154229487885409, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1420807265645103779, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7217081585255666832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5245210428310843800, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8718458550306181672, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gkB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1853929584104138187, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gkC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5775833956615014362, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1707359686389401900, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4077862431841849071, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8655217939234080753, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2051502420476156343, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8548809351998694474, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6074311826448288772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7274130528364837062, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3990464620876117938, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8971960180317742625, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7556005752720432220, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gvB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8971960180317742625, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gvC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8971960180317742625, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6343556242000085269, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6158480480864791086, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3780726900764562432, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 454870017363707803, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5433733811242883542, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8036043683454610109, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2590022898286223630, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6488237710741063661, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 151709182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3606565528833597592, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 151709183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2198612306660254489, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5504596215112430414, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5504596215112430414, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7551035974379682615, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6028323056983284097, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4808296818924396183, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8389961018656262008, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2033077281645960461, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6875373457859161106, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4383732907243333489, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4383732907243333489, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1865178006858838010, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3407069238295376718, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2418643624376745507, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3803628439680798013, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4142307168429900338, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2233869876518003877, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1913762562433244822, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2364372939253399270, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8112267243860843770, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5981250868744486985, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5858899136635447067, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7165974652618230221, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7507303304757786278, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4309650048338562422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8917404209889409933, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1723652617810141502, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6061609797553663632, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2626401557839058483, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5753831221186791878, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1531509562907410973, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2365154229487885409, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4180104700444044726, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3183968113996261648, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2364372939253399270, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8711792797774181712, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5981250868744486985, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3404753775394836483, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8062388176488516718, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5816241075875169568, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1125905639644370644, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8965910846095198141, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8840853478207555782, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1019656530742916114, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5938508406560784768, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5651505945323505936, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1184141453141664803, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3894508119188970978, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4029559439014181368, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6762285282209437415, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6762285282209437415, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3159334260735788874, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3509363829164811672, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8886631101091754521, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5135737760350029144, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ji1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1231293540267568832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8947789874810479432, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5680249167928588366, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7116630938700936081, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 367169570797223954, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6563271287767759482, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2396993124608131474, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2396993124608131474, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8087389477154029237, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8087389477154029237, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 923145323057365350, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 923145323057365350, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6615364467352054172, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6615364467352054172, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 217644476116422721, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 217644476116422721, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1297602571951725409, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1297602571951725409, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7203045516267130400, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7203045516267130400, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3667675617910918331, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4862131320818099691, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3667675617910918331, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4862131320818099691, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7691178852389194448, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7691178852389194448, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3520607300687834674, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3520607300687834674, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2400381407150336048, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2400381407150336048, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5539097667228020901, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4203021992703550733, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4203021992703550733, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5539097667228020901, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7473284010018453473, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7473284010018453473, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4200096379161870542, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4200096379161870542, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7840163790328738444, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7840163790328738444, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2648177334070924310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9184368151376587867, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4703421982335860155, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4703421982335860155, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9184368151376587867, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4565999526230292132, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^2:\\OD_{16}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2597626037476732638, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3.C_2.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 151709297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2597626037476732638, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6082155623970374089, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6996689143273012557, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3807648981037334137, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8290555674641514136, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3104077184197262736, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.8.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1908602488572228993, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^3:C_8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7196633714110035646, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 330904373406535627, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8026752135494048864, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5484232248864769573, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4300832054168755428, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4300832054168755428, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 883675746453582067, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1024, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2996436138804952260, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7816084168469126000, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1807451064413667477, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3296783579593713291, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7816084168469126000, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1024, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6671932997563876990, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1024, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1489657831775313903, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1024, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1489657831775313903, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7766110310909735476, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7766110310909735476, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 351220751962746751, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 351220751962746751, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4300832054168755428, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4300832054168755428, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7816084168469126000, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7816084168469126000, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3568580165608488133, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8997000212487076536, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1188722299358685145, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5703817581619710699, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1586320040890465028, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2310136257027144480, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4932104467788451828, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4932104467788451828, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8498126232252403828, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8498126232252403828, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4735646478042922375, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6837813195179882550, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8148825712200432490, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1024, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.16.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4735646478042922375, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494205', 'subgroup_hash': 5691202840721417247, 'subgroup_order': 512, 'subgroup_tex': 'D_4.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535895', 'subgroup_hash': 8161152129052946492, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': 402481401624916684, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7536009', 'subgroup_hash': 6552970491139590242, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277886', 'subgroup_hash': 5539709778211875689, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277886', 'subgroup_hash': 5539709778211875689, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': 402481401624916684, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493096', 'subgroup_hash': 2337583812326940266, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277882', 'subgroup_hash': 2604581748984416717, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532457', 'subgroup_hash': 5264734561946770298, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277882', 'subgroup_hash': 2604581748984416717, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277882', 'subgroup_hash': 2604581748984416717, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277882', 'subgroup_hash': 2604581748984416717, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535895', 'subgroup_hash': 8161152129052946492, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': 402481401624916684, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7536009', 'subgroup_hash': 6552970491139590242, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277886', 'subgroup_hash': 5539709778211875689, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277886', 'subgroup_hash': 5539709778211875689, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6277885', 'subgroup_hash': 402481401624916684, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95224', 'subgroup_hash': 872237909465360080, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.97298', 'subgroup_hash': 462169132878169121, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95224', 'subgroup_hash': 872237909465360080, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95224', 'subgroup_hash': 872237909465360080, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95224', 'subgroup_hash': 872237909465360080, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.8841573', 'subgroup_hash': 7679138816253262810, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.121050', 'subgroup_hash': 7930676096403175507, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.121050', 'subgroup_hash': 7930676096403175507, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.121050', 'subgroup_hash': 7930676096403175507, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.121050', 'subgroup_hash': 7930676096403175507, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.8841692', 'subgroup_hash': 6923410319595270099, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.281200', 'subgroup_hash': 6181627528836119942, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.281200', 'subgroup_hash': 6181627528836119942, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 512, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.32.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.br1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.1753', 'subgroup_hash': 1436668582407764448, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 151709394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56086', 'subgroup_hash': 56086, 'subgroup_order': 256, 'subgroup_tex': 'D_4:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56086', 'subgroup_hash': 56086, 'subgroup_order': 256, 'subgroup_tex': 'D_4:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.211', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 211, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': 27028, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27028', 'subgroup_hash': 27028, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55646', 'subgroup_hash': 55646, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': 13570, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56086', 'subgroup_hash': 56086, 'subgroup_order': 256, 'subgroup_tex': 'D_4:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56086', 'subgroup_hash': 56086, 'subgroup_order': 256, 'subgroup_tex': 'D_4:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': 55627, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 256, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55646', 'subgroup_hash': 55646, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.28334', 'subgroup_hash': 28334, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.28334', 'subgroup_hash': 28334, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': 13573, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13573', 'subgroup_hash': 13573, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13574', 'subgroup_hash': 13574, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13574', 'subgroup_hash': 13574, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1529', 'subgroup_hash': 1529, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1529', 'subgroup_hash': 1529, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1529', 'subgroup_hash': 1529, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1529', 'subgroup_hash': 1529, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 206, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 206, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.64.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.219', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1735', 'subgroup_hash': 1735, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1116', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1116, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709441
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 753, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['U3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151709442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 753, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 753, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 753, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709446
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.931', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 931, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151709447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.931', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 931, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.734', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 734, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151709452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.734', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 734, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709453
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1746', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1746, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151709454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1746', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1746, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709455
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.734', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 734, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.734', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 734, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151709458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 742, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 742, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 932, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 932, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 128, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 742, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': 1040, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 128, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 742, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': 1040, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1751, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1758, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': 2323, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1142', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1142, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': 2323, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1142', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1142, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1165, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1271', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1271, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 128, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1579', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1579, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': 1040, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1136, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1156', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1156, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1156', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1156, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 128, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1349', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1349, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': 1040, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.128.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709479
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16429', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16429, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709480
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6331', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6331, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6331', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6331, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709482
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26535', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26535, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709483
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6331', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6331, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6331', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6331, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16383, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.2926', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2926, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.2926', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2926, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.2926', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2926, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16401', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16401, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709493
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.2926', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2926, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6334, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6334, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6334, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26536', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26536, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.6334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6334, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16401', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16401, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16390', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16390, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26539, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16432', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16432, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.7704', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7704, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C8'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709505
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.17400', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17400, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151709507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.17400', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17400, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.17392', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17392, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26539, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.256.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.17392', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17392, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406078', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6944061577264474722, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 32, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.142115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3169905636917506612, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 32, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.49732', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 961340514451908843, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4', 'simple': False, 'solvable': True, 'special_labels': ['U4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406114', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6733060730584681256, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709515
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.49732', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 961340514451908843, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.49732', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 961340514451908843, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709518
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 32, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.49732', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 961340514451908843, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709519
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406123', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8254038070413969493, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.142144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7456132434097757504, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.142169', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7045716594813690982, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.301528', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7748090944648820646, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_2^6.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.408352', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3945418559525589670, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709524
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406082', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6180886169038182993, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_4).C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.301463', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4542675454695151341, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709526
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.301391', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4392212265041549624, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C9'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709527
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.142198', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4596653063909375252, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.408360', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 449704585821870855, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151709530
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.408352', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3945418559525589670, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709531
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.512.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.408362', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7421986227911788835, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151709532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8986526574330846578, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709533
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8144068435973810827, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8144068435973810827, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709535
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 807818751872894413, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709536
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 16, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 968952270524733279, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709537
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 16, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5257046109025978742, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'D2', 'C10'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5376692147838536142, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709540
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 61598257691867250, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709541
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.1024.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4223954812569353898, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151709542
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 8, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2048.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3490514874519080026, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['U5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709543
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': True, 'core_order': 8, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2048.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5781824638608614717, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['L4', 'C11'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709544
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': True, 'core_order': 8, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.2048.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9199198775336637365, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151709545
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4096.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6886603043113183120, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709546
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4096.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4932163640932090111, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['L5', 'C12'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709547
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.mu.4096.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2013466141039987713, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151709548
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 2, 'counter': 598, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '16384.mu.8192.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '8192.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7434087842928012979, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'S', 'U6', 'L6', 'C13'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151709549
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '16384.mu', 'ambient_counter': 333, 'ambient_order': 16384, 'ambient_tex': 'C_2^7.C_2\\wr D_4', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 1, 'counter': 599, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '16384.mu.16384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16384.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '16384.mu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4243906216982603733, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7.C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U7', 'L7', 'D3', 'C14'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 151709092
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 522, 10688], 'label': '16384.mu.8.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.S', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151708995
    {'ambient': '16384.mu', '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': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 2, 8, 512], 'label': '16384.mu.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151708996
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 8], 'label': '16384.mu.2.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151708997
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 10, 7280], 'label': '16384.mu.8.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151708998
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 7658, 7280], 'label': '16384.mu.8.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151708999
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 522, 8592, 10688, 14400], 'label': '16384.mu.8.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709000
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 2, 7280, 7648], 'label': '16384.mu.8.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709001
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 522, 8592, 10688, 14400], 'label': '16384.mu.8.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709002
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 10, 7280], 'label': '16384.mu.8.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709003
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 15082, 8592, 10688, 14400], 'label': '16384.mu.8.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709004
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 2, 7280, 7648], 'label': '16384.mu.8.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709005
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7753, 514, 9264], 'label': '16384.mu.8.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709006
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 514, 9264], 'label': '16384.mu.8.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709007
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 2, 520], 'label': '16384.mu.2.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709008
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7217, 72, 512, 10688, 7648], 'label': '16384.mu.8.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709009
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7281, 8, 512, 10688, 7648], 'label': '16384.mu.8.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709010
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7329, 7656, 512, 8592], 'label': '16384.mu.8.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709011
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7649, 7336, 512, 8592], 'label': '16384.mu.8.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709012
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7217, 8, 9792, 10688, 7648], 'label': '16384.mu.8.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709013
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 72, 9792, 10688, 7648], 'label': '16384.mu.8.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709014
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 72, 512, 10688, 7648], 'label': '16384.mu.8.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709015
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7217, 8, 512, 10688, 7648], 'label': '16384.mu.8.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709016
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 7656, 512, 8592], 'label': '16384.mu.8.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709017
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7329, 7336, 512, 8592], 'label': '16384.mu.8.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709018
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 514, 8], 'label': '16384.mu.2.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709019
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7329, 7336, 9792, 8592], 'label': '16384.mu.8.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709020
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 7656, 9792, 8592], 'label': '16384.mu.8.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709021
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7289, 522, 14400, 10688, 7648], 'label': '16384.mu.8.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709022
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6065, 520, 14400, 10688, 7648, 64], 'label': '16384.mu.8.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709023
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 8, 7648, 64, 10688], 'label': '16384.mu.8.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709024
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7289, 10, 7648, 10688], 'label': '16384.mu.8.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709025
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 522, 7280, 10688, 1440], 'label': '16384.mu.8.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709026
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 8592, 10688, 1440], 'label': '16384.mu.8.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709027
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 7656, 512, 10688, 9568, 64], 'label': '16384.mu.8.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709028
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8593, 8, 15072, 10688, 9568, 64], 'label': '16384.mu.8.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709029
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 522, 7280, 7648, 14400, 10688], 'label': '16384.mu.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709030
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 512, 9236, 1440, 7280, 64], 'label': '16384.mu.8.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709031
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 7656, 15072, 64, 10688], 'label': '16384.mu.8.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709032
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 9236, 1440, 8592, 64], 'label': '16384.mu.8.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709033
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8593, 8, 512, 64, 10688], 'label': '16384.mu.8.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709034
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 520, 7280, 64, 1440], 'label': '16384.mu.8.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709035
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 7656, 3920, 64, 10688], 'label': '16384.mu.8.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709036
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8593, 8, 6064, 64, 10688], 'label': '16384.mu.8.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709037
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 514, 7280, 10688, 1440], 'label': '16384.mu.8.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CH', 'subgroup_fusion': None, 'weyl_group': '1024.dew'}
  • id: 151709038
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 8592, 64], 'label': '16384.mu.8.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709039
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 7656, 6064, 64, 10688], 'label': '16384.mu.8.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709040
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 512, 9236, 14400, 7280, 7648], 'label': '16384.mu.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709041
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 2, 8592, 10688, 1440], 'label': '16384.mu.8.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CK', 'subgroup_fusion': None, 'weyl_group': '1024.ddy'}
  • id: 151709042
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8593, 8, 3920, 10688], 'label': '16384.mu.8.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709043
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6073, 10, 14400, 10688, 7648], 'label': '16384.mu.8.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709044
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 14400, 10688, 7648], 'label': '16384.mu.8.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709045
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 10, 14400, 7648], 'label': '16384.mu.8.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709046
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 520, 14400, 10688, 7648, 64], 'label': '16384.mu.8.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709047
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6065, 8, 7648, 64, 10688], 'label': '16384.mu.8.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709048
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6073, 522, 7648, 10688], 'label': '16384.mu.8.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709049
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 520, 14400, 10688, 7648], 'label': '16384.mu.8.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709050
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 14400, 7648], 'label': '16384.mu.8.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709051
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 520, 7280, 7648, 14400], 'label': '16384.mu.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709052
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 8, 7648, 10688], 'label': '16384.mu.8.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709053
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 7648], 'label': '16384.mu.8.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709054
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 10, 7648, 10688], 'label': '16384.mu.8.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709055
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 522, 7648], 'label': '16384.mu.8.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709056
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [515, 15080, 8592, 10688, 1440], 'label': '16384.mu.8.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709057
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 7280, 10688, 1440], 'label': '16384.mu.8.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709058
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [515, 7656, 7280, 10688], 'label': '16384.mu.8.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709059
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [515, 8, 7280, 10688], 'label': '16384.mu.8.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709060
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 522, 8592, 10688, 1440], 'label': '16384.mu.8.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709061
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 2, 1440, 10688], 'label': '16384.mu.8.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709062
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 7280, 7648], 'label': '16384.mu.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709063
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 1440, 10688], 'label': '16384.mu.8.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709064
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [515, 520, 8592, 1440], 'label': '16384.mu.8.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709065
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 520, 7280, 64, 1440], 'label': '16384.mu.8.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709066
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 520, 7280, 1440], 'label': '16384.mu.8.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709067
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 7656, 512, 64], 'label': '16384.mu.8.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.diB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709068
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8, 15072, 64], 'label': '16384.mu.8.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.diC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709069
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 7656, 512, 64], 'label': '16384.mu.8.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709070
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 8, 15072, 64], 'label': '16384.mu.8.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709071
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 15080, 8592, 64, 1440], 'label': '16384.mu.8.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709072
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 7656, 7280, 64], 'label': '16384.mu.8.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709073
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 10, 7280, 7648], 'label': '16384.mu.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709074
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 8, 7280], 'label': '16384.mu.8.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709075
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 8, 8592, 64], 'label': '16384.mu.8.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709076
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 8, 8592], 'label': '16384.mu.8.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709077
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.O', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 520, 8592, 1440], 'label': '16384.mu.8.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709078
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8, 512, 64], 'label': '16384.mu.8.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.drB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709079
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 7656, 15072], 'label': '16384.mu.8.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.drC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709080
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 7656, 15072, 64], 'label': '16384.mu.8.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709081
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 8, 512], 'label': '16384.mu.8.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709082
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8593, 7656, 512, 10688, 9568, 64], 'label': '16384.mu.8.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709083
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 9236, 1440, 7280], 'label': '16384.mu.8.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709084
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 514, 7280, 7648, 14400], 'label': '16384.mu.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709085
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 8, 512, 64, 10688], 'label': '16384.mu.8.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709086
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 512, 9236, 1440, 8592], 'label': '16384.mu.8.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709087
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 7280, 1440], 'label': '16384.mu.8.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709088
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 8, 6064, 10688], 'label': '16384.mu.8.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709089
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 15080, 1440, 10688], 'label': '16384.mu.8.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709090
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 514, 7280, 1440], 'label': '16384.mu.8.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709091
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 522, 10688], 'label': '16384.mu.8.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.S', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709093
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8593, 7656, 6064, 10688], 'label': '16384.mu.8.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709094
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7649, 8, 8592], 'label': '16384.mu.8.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709095
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 2, 7280, 7648, 14400], 'label': '16384.mu.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709096
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 2, 8592, 1440], 'label': '16384.mu.8.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709097
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 522, 1440, 10688], 'label': '16384.mu.8.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709098
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 522, 1440], 'label': '16384.mu.8.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709099
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 520, 1440], 'label': '16384.mu.8.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709100
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 10, 15072, 10688, 9568], 'label': '16384.mu.8.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709101
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 7658, 512, 10688, 9568], 'label': '16384.mu.8.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709102
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 522, 7280, 10688, 14400], 'label': '16384.mu.8.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709103
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 10, 6064, 10688], 'label': '16384.mu.8.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709104
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 7658, 3920, 10688], 'label': '16384.mu.8.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709105
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 512, 14836, 14400, 7280], 'label': '16384.mu.8.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709106
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 10, 512, 7648, 7280], 'label': '16384.mu.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709107
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 10, 7280, 7648, 14400], 'label': '16384.mu.4.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709108
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 14836, 14400, 8592], 'label': '16384.mu.8.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709109
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 10, 512, 10688], 'label': '16384.mu.8.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709110
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 7658, 15072, 10688], 'label': '16384.mu.8.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709111
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 7280, 14400], 'label': '16384.mu.8.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.et1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709112
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 520, 8592, 14400], 'label': '16384.mu.8.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.eu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709113
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 514, 7280, 14400], 'label': '16384.mu.8.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.ev1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709114
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 10, 8592], 'label': '16384.mu.8.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.ew1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709115
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 2, 8592, 14400], 'label': '16384.mu.8.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ex1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709116
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 10, 3920], 'label': '16384.mu.8.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.ey1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709117
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8601, 7658, 6064], 'label': '16384.mu.8.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.ez1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709118
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [515, 520, 7280, 7648, 14400], 'label': '16384.mu.4.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709119
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7745, 2, 15080, 10688], 'label': '16384.mu.8.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709120
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 7280, 10688, 7648], 'label': '16384.mu.8.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709121
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 522, 9264, 10688, 7648], 'label': '16384.mu.8.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.fc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709122
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1697, 7650, 520], 'label': '16384.mu.8.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709123
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 7252, 7648, 7280], 'label': '16384.mu.8.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.fe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709124
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 512, 7252, 7648, 9264], 'label': '16384.mu.8.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709125
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7745, 520, 7280, 7648], 'label': '16384.mu.8.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709126
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 9264, 7648], 'label': '16384.mu.8.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.fh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709127
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7745, 7650, 15080, 10688], 'label': '16384.mu.8.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709128
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 514, 7280, 7648], 'label': '16384.mu.8.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.fj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709129
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 514, 14400, 7648], 'label': '16384.mu.4.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709130
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1697, 2, 520], 'label': '16384.mu.8.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709131
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10, 512, 10688, 9568], 'label': '16384.mu.8.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709132
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 7280, 10688, 14400], 'label': '16384.mu.8.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709133
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 7658, 6064, 10688], 'label': '16384.mu.8.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709134
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 14836, 14400, 7280], 'label': '16384.mu.8.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709135
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 512, 14836, 14400, 8592], 'label': '16384.mu.8.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709136
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 7658, 512, 10688], 'label': '16384.mu.8.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709137
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 520, 7280, 14400], 'label': '16384.mu.8.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.fr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709138
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 8592, 14400], 'label': '16384.mu.8.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709139
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 514, 7280, 14400], 'label': '16384.mu.8.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.ft1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709140
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 2, 14400, 7648], 'label': '16384.mu.4.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709141
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 10, 8592], 'label': '16384.mu.8.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709142
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 2, 8592, 14400], 'label': '16384.mu.8.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709143
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10, 6064], 'label': '16384.mu.8.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.fw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709144
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 7650, 15080, 10688], 'label': '16384.mu.8.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709145
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 522, 7280, 10688, 7648], 'label': '16384.mu.8.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.fy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709146
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 522, 9264, 10688, 7648], 'label': '16384.mu.8.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '8.fz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709147
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 2, 520], 'label': '16384.mu.8.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ga1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709148
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 512, 7252, 7648, 7280], 'label': '16384.mu.8.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.gb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709149
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 7252, 7648, 9264], 'label': '16384.mu.8.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.gc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709150
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 520, 7280, 7648], 'label': '16384.mu.8.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.gd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709151
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 512, 9236, 7648, 7280], 'label': '16384.mu.4.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709152
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7745, 520, 9264, 7648], 'label': '16384.mu.8.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.ge1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709153
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 2, 15080, 10688], 'label': '16384.mu.8.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.gf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709154
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14409, 514, 7280, 7648], 'label': '16384.mu.8.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.gg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709155
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 7650, 520], 'label': '16384.mu.8.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.gh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709156
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 10, 7280, 14400], 'label': '16384.mu.8.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709157
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 7658, 7280, 14400], 'label': '16384.mu.8.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709158
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 10, 15072], 'label': '16384.mu.8.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gkB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709159
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 7658, 512], 'label': '16384.mu.8.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gkC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709160
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7657, 10, 512], 'label': '16384.mu.8.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709161
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7657, 7658, 15072], 'label': '16384.mu.8.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709162
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 8, 7280, 7648], 'label': '16384.mu.4.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709163
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15081, 10, 8592, 14400], 'label': '16384.mu.8.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709164
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15075, 520, 8592, 14400], 'label': '16384.mu.8.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.go1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709165
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 14400], 'label': '16384.mu.8.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.gp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709166
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15081, 522, 7280], 'label': '16384.mu.8.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709167
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 522, 7280], 'label': '16384.mu.8.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709168
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 15082, 8592], 'label': '16384.mu.8.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709169
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BB', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 522, 8592], 'label': '16384.mu.8.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709170
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BC', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 10, 8592, 14400], 'label': '16384.mu.8.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709171
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 10, 512], 'label': '16384.mu.8.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gvB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709172
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 7658, 15072], 'label': '16384.mu.8.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gvC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709173
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 522, 7280, 7648], 'label': '16384.mu.4.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709174
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7657, 10, 15072], 'label': '16384.mu.8.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709175
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7657, 7658, 512], 'label': '16384.mu.8.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.gx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709176
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 520, 7280], 'label': '16384.mu.8.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.gy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709177
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7651, 520, 7280], 'label': '16384.mu.8.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.gz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709178
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7650, 520, 14400], 'label': '16384.mu.8.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ha1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709179
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 520, 14400], 'label': '16384.mu.8.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709180
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [515, 520, 8592, 14400], 'label': '16384.mu.8.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709181
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 10], 'label': '16384.mu.8.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.W', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.hd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709182
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 7658], 'label': '16384.mu.8.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.W', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.he1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709183
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 15082, 14400], 'label': '16384.mu.8.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709184
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 2, 7280, 14400], 'label': '16384.mu.4.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709185
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 522, 14400], 'label': '16384.mu.8.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709186
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 2, 14400], 'label': '16384.mu.8.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709187
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BE', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [515, 520, 7280, 7648], 'label': '16384.mu.8.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709188
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1697, 7650, 15080], 'label': '16384.mu.8.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709189
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 2, 15080], 'label': '16384.mu.8.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709190
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BD', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 2, 7648], 'label': '16384.mu.8.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709191
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7745, 2, 520], 'label': '16384.mu.8.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709192
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 7650, 520], 'label': '16384.mu.8.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709193
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BD', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [521, 2, 7280], 'label': '16384.mu.8.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.ho1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709194
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BE', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [521, 514, 7280], 'label': '16384.mu.8.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.P', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.hp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709195
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 514, 7280, 14400], 'label': '16384.mu.4.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709196
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BD', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 520, 7648], 'label': '16384.mu.8.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709197
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1697, 2, 15080], 'label': '16384.mu.8.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709198
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 7650, 15080], 'label': '16384.mu.8.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709199
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BE', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 522, 7648], 'label': '16384.mu.8.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ht1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709200
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7745, 7650, 520], 'label': '16384.mu.8.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709201
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 2, 520], 'label': '16384.mu.8.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.hv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709202
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10697, 522, 7280, 7648, 13696], 'label': '16384.mu.8.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.hw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IA', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709203
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4537, 10698, 512, 64, 7648], 'label': '16384.mu.8.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.hx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709204
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10697, 3018, 7280, 7648, 13696], 'label': '16384.mu.8.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.hy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IC', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709205
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4537, 10, 512, 7648], 'label': '16384.mu.8.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.hz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709206
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 520, 14400, 7648], 'label': '16384.mu.4.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709207
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5921, 10690, 15080, 11360], 'label': '16384.mu.8.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.ia1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709208
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10689, 3010, 7656, 64], 'label': '16384.mu.8.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BC', 'old_label': '8.ib1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IF', 'subgroup_fusion': None, 'weyl_group': '512.401765'}
  • id: 151709209
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5921, 2, 15080, 11360], 'label': '16384.mu.8.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.ic1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709210
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10689, 514, 7656], 'label': '16384.mu.8.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BC', 'old_label': '8.id1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709211
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 3018, 7280, 7648, 13696], 'label': '16384.mu.8.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.ie1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.II', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709212
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10, 512, 64, 7648], 'label': '16384.mu.8.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.if1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709213
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 522, 7280, 7648, 13696], 'label': '16384.mu.8.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.ig1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IK', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709214
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10698, 512, 7648], 'label': '16384.mu.8.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.ih1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709215
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 2, 15080, 11360], 'label': '16384.mu.8.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.ii1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709216
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 514, 7656], 'label': '16384.mu.8.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BC', 'old_label': '8.ij1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709217
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 2, 520, 7648, 14400], 'label': '16384.mu.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709218
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 520, 7280, 7648], 'label': '16384.mu.4.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709219
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 10690, 15080, 11360], 'label': '16384.mu.8.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.ik1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709220
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 3010, 7656], 'label': '16384.mu.8.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BC', 'old_label': '8.il1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709221
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10697, 3018, 7280, 7648, 14400], 'label': '16384.mu.8.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.im1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IQ', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709222
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10, 512, 64, 4128], 'label': '16384.mu.8.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.in1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709223
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10697, 522, 7280, 7648, 14400], 'label': '16384.mu.8.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.io1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IS', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709224
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7289, 10698, 512, 4128], 'label': '16384.mu.8.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.ip1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709225
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 10690, 15080, 64, 1440], 'label': '16384.mu.8.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.iq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IU', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151709226
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 3010, 8], 'label': '16384.mu.8.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BD', 'old_label': '8.ir1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709227
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 2, 15080, 1440], 'label': '16384.mu.8.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.is1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709228
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7649, 514, 8], 'label': '16384.mu.8.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BD', 'old_label': '8.it1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709229
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 522, 7648], 'label': '16384.mu.4.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709230
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 522, 7280, 7648, 14400], 'label': '16384.mu.8.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.iu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IY', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709231
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4537, 10698, 512, 64, 4128], 'label': '16384.mu.8.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.iv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709232
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 3018, 7280, 7648, 14400], 'label': '16384.mu.8.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.iw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JA', 'subgroup_fusion': None, 'weyl_group': '512.7608179'}
  • id: 151709233
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4537, 10, 512, 4128], 'label': '16384.mu.8.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.X', 'old_label': '8.ix1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709234
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5921, 2, 15080, 1440], 'label': '16384.mu.8.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.iy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709235
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4129, 514, 8], 'label': '16384.mu.8.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BD', 'old_label': '8.iz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709553
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 514, 520], 'label': '16384.mu.4.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709236
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5921, 10690, 15080, 1440], 'label': '16384.mu.8.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BB', 'old_label': '8.ja1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709237
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4129, 3010, 8], 'label': '16384.mu.8.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BD', 'old_label': '8.jb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709238
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7217, 72, 512, 10624, 7648], 'label': '16384.mu.8.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709239
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7281, 8, 512, 10624, 7648], 'label': '16384.mu.8.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709240
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 2, 7648], 'label': '16384.mu.4.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709241
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 7336, 512, 7280], 'label': '16384.mu.8.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BF', 'old_label': '8.je1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709242
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [65, 7656, 512, 7280], 'label': '16384.mu.8.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BF', 'old_label': '8.jf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709243
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7217, 8, 9792, 10624, 7648], 'label': '16384.mu.8.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709244
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7217, 8, 512, 10624, 7648], 'label': '16384.mu.8.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709245
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 7656, 9792, 7280], 'label': '16384.mu.8.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BF', 'old_label': '8.ji1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709246
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 7656, 512, 7280], 'label': '16384.mu.8.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BF', 'old_label': '8.jj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709247
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.T', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4529, 8, 512, 64, 4128], 'label': '16384.mu.8.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709248
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.T', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4529, 8, 6064, 4128], 'label': '16384.mu.8.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.jl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JP', 'subgroup_fusion': None, 'weyl_group': '512.6377433'}
  • id: 151709249
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.U', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7281, 8, 512, 64, 7648], 'label': '16384.mu.8.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709250
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.U', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [7281, 8, 6064, 7648], 'label': '16384.mu.8.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.jn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709251
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 10, 14400], 'label': '16384.mu.4.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709252
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4529, 10696, 512, 64, 4128], 'label': '16384.mu.8.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709253
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 8, 512, 64, 4128], 'label': '16384.mu.8.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709254
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4529, 10696, 6064, 4128], 'label': '16384.mu.8.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.jq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709255
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 8, 6064, 4128], 'label': '16384.mu.8.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.jr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709256
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4529, 8, 512, 64, 7648], 'label': '16384.mu.8.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.js1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709257
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 10696, 512, 64, 7648], 'label': '16384.mu.8.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.Z', 'old_label': '8.jt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709258
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4529, 8, 6064, 7648], 'label': '16384.mu.8.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.ju1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709259
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.JZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7281, 10696, 6064, 7648], 'label': '16384.mu.8.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BA', 'old_label': '8.jv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709260
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 512, 9236, 7648, 9264], 'label': '16384.mu.8.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.jw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709261
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BK', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14409, 512, 9236, 7648, 7280], 'label': '16384.mu.8.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.jx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709262
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 522, 14400, 7648], 'label': '16384.mu.4.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709263
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 512, 9236, 14400, 8592], 'label': '16384.mu.8.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.jy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709264
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 512, 9236, 14400, 7280], 'label': '16384.mu.8.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.jz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709265
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14409, 512, 9236, 7648, 9264], 'label': '16384.mu.8.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.ka1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709266
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 512, 9236, 7648, 7280], 'label': '16384.mu.8.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.kb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709267
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 514, 9264, 7648], 'label': '16384.mu.8.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.kc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709268
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 2, 9264, 7648], 'label': '16384.mu.8.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.kd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709269
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 514, 8592, 14400], 'label': '16384.mu.8.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '8.ke1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709270
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 2, 7280, 14400], 'label': '16384.mu.8.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.G', 'old_label': '8.kf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709271
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 9236, 8592], 'label': '16384.mu.8.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.H', 'old_label': '8.kg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709272
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 9236, 7280], 'label': '16384.mu.8.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.H', 'old_label': '8.kh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709273
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 514, 7648], 'label': '16384.mu.4.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709274
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7753, 10, 9264, 7648], 'label': '16384.mu.8.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.ki1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709275
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 10, 7280, 7648], 'label': '16384.mu.8.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.I', 'old_label': '8.kj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709276
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [515, 520, 9264, 7648], 'label': '16384.mu.8.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.kk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KO', 'subgroup_fusion': None, 'weyl_group': '2048.coo'}
  • id: 151709277
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [515, 520, 7280, 14400], 'label': '16384.mu.8.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '8.kl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KP', 'subgroup_fusion': None, 'weyl_group': '1024.ddy'}
  • id: 151709278
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 10, 9264, 7648], 'label': '16384.mu.8.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.km1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709279
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [515, 8, 7648], 'label': '16384.mu.8.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.kn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KR', 'subgroup_fusion': None, 'weyl_group': '2048.coo'}
  • id: 151709280
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 514, 14400], 'label': '16384.mu.8.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.J', 'old_label': '8.ko1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KS', 'subgroup_fusion': None, 'weyl_group': '1024.dew'}
  • id: 151709281
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BK', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7753, 10, 7280, 7648], 'label': '16384.mu.8.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.I', 'old_label': '8.kp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709282
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 520, 8592, 14400], 'label': '16384.mu.8.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.kq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709283
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 520, 7280, 14400], 'label': '16384.mu.8.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.L', 'old_label': '8.kr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709284
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7289, 10, 512, 10688, 7648], 'label': '16384.mu.4.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709285
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [521, 2, 14400], 'label': '16384.mu.8.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.ks1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709286
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [521, 514, 14400], 'label': '16384.mu.8.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.P', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.kt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709287
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14401, 520, 9264, 7648], 'label': '16384.mu.8.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.ku1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709288
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.KZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 520, 7280, 7648], 'label': '16384.mu.8.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.J', 'old_label': '8.kv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709289
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7753, 2, 9264], 'label': '16384.mu.8.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.kw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709290
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 520, 9264, 7648], 'label': '16384.mu.8.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.kx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709291
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 520, 7648], 'label': '16384.mu.8.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.ky1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709292
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 520, 8592], 'label': '16384.mu.8.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.R', 'old_label': '8.kz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709293
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BK', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14401, 520, 7280, 7648], 'label': '16384.mu.8.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.J', 'old_label': '8.la1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709294
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [521, 2, 9264], 'label': '16384.mu.8.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.lb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709295
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7289, 10, 6064, 7648], 'label': '16384.mu.4.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709296
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 10], 'label': '16384.mu.8.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.U', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '8.lc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709297
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [2, 8], 'label': '16384.mu.8.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.T', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.T', 'old_label': '8.ld1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709298
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [9, 2, 7744], 'label': '16384.mu.8.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.le1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709299
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 2, 6064], 'label': '16384.mu.8.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.lf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709300
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 14402, 512], 'label': '16384.mu.8.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.lg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709301
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [14409, 14402, 512], 'label': '16384.mu.8.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.lh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709302
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14409, 2, 3056], 'label': '16384.mu.8.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.li1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709303
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.LN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14409, 2, 7744], 'label': '16384.mu.8.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '8.lj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709304
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 9236, 14400, 9568, 7648, 64, 10688], 'label': '16384.mu.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709305
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 9236, 7280, 10688, 1440, 64], 'label': '16384.mu.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709306
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 8, 512, 10688, 7648, 64], 'label': '16384.mu.4.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709307
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 9236, 8592, 10688, 1440, 64], 'label': '16384.mu.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709308
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6073, 9236, 14400, 9568, 7648, 64, 10688], 'label': '16384.mu.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709309
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 7280, 14400, 10688, 7648], 'label': '16384.mu.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709310
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 9236, 14400, 10688, 7648], 'label': '16384.mu.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709311
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 9236, 14400, 10688, 7648], 'label': '16384.mu.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709312
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15080, 9236, 8592, 10688, 1440, 64], 'label': '16384.mu.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709313
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 9236, 7280, 10688, 1440], 'label': '16384.mu.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709314
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7656, 9236, 7280, 64, 10688], 'label': '16384.mu.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709315
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 9236, 7280, 10688], 'label': '16384.mu.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709316
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 9236, 8592, 10688, 1440], 'label': '16384.mu.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709317
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7281, 8, 6064, 10688, 7648], 'label': '16384.mu.4.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709318
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15073, 8592, 1440, 64, 10688], 'label': '16384.mu.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709319
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 8592, 1440, 10688], 'label': '16384.mu.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709320
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [520, 9236, 8592, 1440], 'label': '16384.mu.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709321
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 14836, 7280, 10688, 14400], 'label': '16384.mu.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709322
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 14836, 8592, 10688, 14400], 'label': '16384.mu.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709323
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 7252, 7280, 10688, 7648], 'label': '16384.mu.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709324
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 7252, 9264, 10688, 7648], 'label': '16384.mu.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709325
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 14836, 7280, 10688, 14400], 'label': '16384.mu.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709326
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 14836, 8592, 10688, 14400], 'label': '16384.mu.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709327
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 7252, 7280, 10688, 7648], 'label': '16384.mu.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709328
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 514, 8, 7648], 'label': '16384.mu.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709329
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 2, 15080, 10688, 1440], 'label': '16384.mu.4.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709330
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 7252, 9264, 10688, 7648], 'label': '16384.mu.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709331
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15075, 14836, 8592, 10688, 14400], 'label': '16384.mu.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709332
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 14836, 7280], 'label': '16384.mu.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709333
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7651, 14836, 7280], 'label': '16384.mu.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709334
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15082, 8592, 14400, 10688], 'label': '16384.mu.16.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709335
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [522, 8592, 14400, 10688], 'label': '16384.mu.16.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709336
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [515, 14836, 8592, 10688, 14400], 'label': '16384.mu.16.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709337
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14402, 7280, 7648], 'label': '16384.mu.16.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709338
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14411, 7280, 7648], 'label': '16384.mu.16.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709339
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7753, 9236, 9264, 7648], 'label': '16384.mu.16.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709340
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 514, 7656, 10688], 'label': '16384.mu.4.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709341
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 9236, 7280, 7648], 'label': '16384.mu.16.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709342
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 9236, 9264, 7648], 'label': '16384.mu.16.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709343
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [523, 14400, 7648], 'label': '16384.mu.16.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709344
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7291, 14400, 7648], 'label': '16384.mu.16.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709345
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7753, 9236, 7280, 7648], 'label': '16384.mu.16.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709346
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8601, 9236, 1440, 10688, 9216, 9568, 8192, 64], 'label': '16384.mu.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709347
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 14400, 7648, 10688, 9568, 64], 'label': '16384.mu.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709348
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 7280, 1440, 64, 10688], 'label': '16384.mu.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709349
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 9236, 1440, 10688, 9568, 64], 'label': '16384.mu.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709350
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 8592, 1440, 64, 10688], 'label': '16384.mu.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709351
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7649, 514, 8, 10688], 'label': '16384.mu.4.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709352
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 9236, 1440, 64, 10688], 'label': '16384.mu.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709353
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 9236, 1440, 64, 10688], 'label': '16384.mu.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709354
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8601, 14836, 14400, 10688, 9568, 8192, 64], 'label': '16384.mu.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709355
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 8628, 7280, 64, 10688], 'label': '16384.mu.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709356
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 7252, 7648, 10688, 9568, 64], 'label': '16384.mu.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709357
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 8628, 8592, 64, 10688], 'label': '16384.mu.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709358
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1449, 8628, 9264, 64, 10688], 'label': '16384.mu.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709359
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 8628, 14800, 64, 10688], 'label': '16384.mu.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709360
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 14836, 14400, 10688, 9568, 64], 'label': '16384.mu.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709361
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 8628, 7280, 64, 10688], 'label': '16384.mu.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709362
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 520, 1440], 'label': '16384.mu.4.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709363
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9273, 7252, 7648, 10688, 9568, 64], 'label': '16384.mu.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709364
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1449, 8628, 8592, 64, 10688], 'label': '16384.mu.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709365
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 8628, 9264, 64, 10688], 'label': '16384.mu.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709366
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 8628, 14800, 64, 10688], 'label': '16384.mu.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709367
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14836, 7280, 14400, 10688], 'label': '16384.mu.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709368
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14836, 8592, 14400, 10688], 'label': '16384.mu.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709369
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 14836, 14400, 10688], 'label': '16384.mu.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709370
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 14836, 14400, 10688], 'label': '16384.mu.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709371
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 8628, 7280, 10688], 'label': '16384.mu.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709372
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 7280, 7648, 10688], 'label': '16384.mu.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709373
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 7656, 512, 64, 7280], 'label': '16384.mu.4.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709374
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1449, 8628, 7280, 10688], 'label': '16384.mu.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709375
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 8628, 8592, 10688], 'label': '16384.mu.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709376
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 8628, 9264, 10688], 'label': '16384.mu.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709377
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1449, 8628, 14800, 10688], 'label': '16384.mu.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709378
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 9264, 7648, 10688], 'label': '16384.mu.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709379
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 7252, 7648, 10688], 'label': '16384.mu.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709380
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 7252, 7648, 10688], 'label': '16384.mu.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709381
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 8628, 8592, 10688], 'label': '16384.mu.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709382
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 8628, 9264, 10688], 'label': '16384.mu.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709383
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 8628, 14800, 10688], 'label': '16384.mu.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709384
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7649, 8, 512, 7280], 'label': '16384.mu.4.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709385
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6073, 9236, 7648, 10688, 9568, 64], 'label': '16384.mu.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709386
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 9264, 7648, 10688], 'label': '16384.mu.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709387
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 8592, 14400, 10688], 'label': '16384.mu.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709388
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7280, 14400, 7648, 10688], 'label': '16384.mu.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709389
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 7280, 14400, 10688], 'label': '16384.mu.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709390
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [512, 14400, 7648, 10688, 9568, 64], 'label': '16384.mu.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709391
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7753, 9236, 7648, 10688], 'label': '16384.mu.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709392
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [521, 9236, 7648, 10688], 'label': '16384.mu.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709393
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '32.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.C', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7291, 7648], 'label': '16384.mu.32.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709394
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 1440, 9568, 64, 10688, 9216, 8192], 'label': '16384.mu.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709395
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7649, 7656, 512, 64, 8592], 'label': '16384.mu.4.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709396
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8601, 8628, 9568, 64, 10688, 9216, 8192], 'label': '16384.mu.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.B', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709397
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9273, 8628, 9568, 64, 10688, 9216, 8192], 'label': '16384.mu.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.C', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709398
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14836, 14400, 9568, 64, 10688, 8192], 'label': '16384.mu.64.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.D', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709399
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 7280, 10688, 64], 'label': '16384.mu.64.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709400
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 8628, 9568, 64, 10688], 'label': '16384.mu.64.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.F', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709401
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 7648, 9568, 64, 10688], 'label': '16384.mu.64.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.G', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709402
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14809, 8628, 9568, 64, 10688, 8192], 'label': '16384.mu.64.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.H', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709403
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 8592, 10688, 64], 'label': '16384.mu.64.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709404
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 9264, 10688, 64], 'label': '16384.mu.64.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709405
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 14800, 10688, 64], 'label': '16384.mu.64.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709406
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 512, 8592], 'label': '16384.mu.4.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709407
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 8628, 10688, 64], 'label': '16384.mu.64.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709408
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7657, 8628, 10688, 64], 'label': '16384.mu.64.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709409
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14409, 8628, 10688, 64], 'label': '16384.mu.64.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709410
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1449, 8628, 10688, 64], 'label': '16384.mu.64.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709411
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 9236, 2048, 64, 9568, 9216, 8192], 'label': '16384.mu.64.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.P', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709412
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 9236, 2048, 64, 9568, 9216, 8192], 'label': '16384.mu.64.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Q', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709413
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 3540, 8640, 64, 9568, 9216, 8192], 'label': '16384.mu.64.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.R', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709414
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 3540, 8640, 64, 9568, 9216, 8192], 'label': '16384.mu.64.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.S', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709415
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 13396, 14400, 64, 3232, 9216, 8192], 'label': '16384.mu.64.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.T', 'subgroup_fusion': None, 'weyl_group': '256.16383'}
  • id: 151709416
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.L', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 14740, 13696, 64, 3232, 8192], 'label': '16384.mu.64.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.U', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709417
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 10, 512, 7648], 'label': '16384.mu.4.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709418
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 13396, 14400, 64, 3232, 8192], 'label': '16384.mu.64.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.V', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709419
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 14740, 13696, 64, 3232, 8192], 'label': '16384.mu.64.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.W', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709420
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 7648, 9568, 64, 10688], 'label': '16384.mu.64.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709421
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14836, 1440, 9568, 64, 10688], 'label': '16384.mu.64.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709422
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14404, 1440, 10688, 64], 'label': '16384.mu.64.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709423
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 7280, 10688, 64], 'label': '16384.mu.64.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709424
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 8592, 10688, 64], 'label': '16384.mu.64.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709425
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 1440, 10688, 64], 'label': '16384.mu.64.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709426
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14836, 9264, 10688], 'label': '16384.mu.64.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709427
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14836, 7280, 10688], 'label': '16384.mu.64.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709428
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8, 512, 7648], 'label': '16384.mu.4.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709429
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8592, 14400, 10688], 'label': '16384.mu.64.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709430
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14836, 14800, 10688], 'label': '16384.mu.64.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709431
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 7648, 10688], 'label': '16384.mu.64.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709432
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 8592, 10688], 'label': '16384.mu.64.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709433
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7280, 7648, 10688], 'label': '16384.mu.64.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709434
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 7280, 10688], 'label': '16384.mu.64.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709435
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9264, 7648, 10688], 'label': '16384.mu.64.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709436
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '64.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7252, 14800, 10688], 'label': '16384.mu.64.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709437
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 9568, 10688, 8192, 64, 9216], 'label': '16384.mu.128.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.A', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709438
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 2048, 9568, 8192, 64, 9216], 'label': '16384.mu.128.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.B', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709439
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 512, 7648, 7280], 'label': '16384.mu.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709440
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 15080, 1440], 'label': '16384.mu.4.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709441
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 9568, 8192, 64, 256, 9216], 'label': '16384.mu.128.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.C', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709442
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3540, 8640, 9568, 8192, 64, 9216], 'label': '16384.mu.128.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.D', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709443
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3577, 11284, 9568, 8192, 64, 9216], 'label': '16384.mu.128.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.E', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709444
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9273, 11284, 9568, 8192, 64, 9216], 'label': '16384.mu.128.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.F', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709445
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 11284, 9568, 8192, 64, 9216], 'label': '16384.mu.128.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.G', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709446
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 3540, 8640, 8192, 9504, 256, 9216], 'label': '16384.mu.128.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.H', 'subgroup_fusion': None, 'weyl_group': '128.931'}
  • id: 151709447
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.I', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 3476, 8320, 8192, 9504, 9216], 'label': '16384.mu.128.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.I', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709448
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 3540, 8640, 8192, 9504, 9216], 'label': '16384.mu.128.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.J', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709449
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 3476, 8320, 8192, 9504, 9216], 'label': '16384.mu.128.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.K', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709450
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.L', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 3232, 8192, 64, 256, 9216], 'label': '16384.mu.128.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.L', 'subgroup_fusion': None, 'weyl_group': '128.734'}
  • id: 151709451
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 514, 8], 'label': '16384.mu.4.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709452
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 11284, 3232, 8192, 64, 9216], 'label': '16384.mu.128.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.M', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709453
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.N', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [13396, 14400, 3232, 8192, 64, 256, 9216], 'label': '16384.mu.128.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.N', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 151709454
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.L', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14740, 13696, 3232, 8192, 64], 'label': '16384.mu.128.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.O', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709455
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [13433, 11284, 3232, 8192, 64, 9216], 'label': '16384.mu.128.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.P', 'subgroup_fusion': None, 'weyl_group': '128.734'}
  • id: 151709456
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.L', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14777, 11284, 3232, 8192, 64], 'label': '16384.mu.128.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Q', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709457
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 9236, 2048, 8192, 9568, 256, 9216], 'label': '16384.mu.128.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.R', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709458
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 9236, 2048, 8192, 9568, 9216], 'label': '16384.mu.128.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.S', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709459
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 10688, 8192, 64, 9216], 'label': '16384.mu.128.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.T', 'subgroup_fusion': None, 'weyl_group': '128.742'}
  • id: 151709460
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2137, 11284, 10688, 8192, 64, 9216], 'label': '16384.mu.128.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.U', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709461
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.V', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 9300, 2368, 8192, 9568, 9216], 'label': '16384.mu.128.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.V', 'subgroup_fusion': None, 'weyl_group': '128.932'}
  • id: 151709462
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 2, 520, 1440], 'label': '16384.mu.4.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709463
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 9300, 2368, 8192, 9568, 9216], 'label': '16384.mu.128.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.W', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709464
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 2164, 10688, 64], 'label': '16384.mu.128.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.X', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709465
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7449, 2164, 10688, 64], 'label': '16384.mu.128.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Y', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709466
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [13396, 13696, 3232, 8192, 64], 'label': '16384.mu.128.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Z', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709467
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 8640, 9568, 8192, 64, 9216], 'label': '16384.mu.128.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BA', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709468
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 9568, 10688, 8192, 64, 9216], 'label': '16384.mu.128.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BB', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709469
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14400, 9568, 10688, 8192, 64], 'label': '16384.mu.128.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BC', 'subgroup_fusion': None, 'weyl_group': '512.142115'}
  • id: 151709470
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7652, 10688, 64], 'label': '16384.mu.128.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709471
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7280, 10688, 64], 'label': '16384.mu.128.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709472
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7648, 9568, 10688, 64], 'label': '16384.mu.128.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BF', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709473
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8, 512, 7280], 'label': '16384.mu.4.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709474
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8592, 10688, 64], 'label': '16384.mu.128.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709475
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9264, 10688, 64], 'label': '16384.mu.128.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709476
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14404, 10688, 64], 'label': '16384.mu.128.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709477
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.G', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7252, 9568, 10688, 64], 'label': '16384.mu.128.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BJ', 'subgroup_fusion': None, 'weyl_group': '512.49732'}
  • id: 151709478
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '128.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 10688, 64], 'label': '16384.mu.128.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709479
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 9568, 64, 9216, 8192, 256], 'label': '16384.mu.256.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.A', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709480
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 9504, 9216, 8192, 256], 'label': '16384.mu.256.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.B', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709481
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 11284, 9504, 9216, 8192, 256], 'label': '16384.mu.256.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.C', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709482
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3540, 8640, 9504, 9216, 8192, 256], 'label': '16384.mu.256.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.D', 'subgroup_fusion': None, 'weyl_group': '128.931'}
  • id: 151709483
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3577, 11284, 9504, 9216, 8192, 256], 'label': '16384.mu.256.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.E', 'subgroup_fusion': None, 'weyl_group': '128.931'}
  • id: 151709484
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 7656, 512, 8592], 'label': '16384.mu.4.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709485
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.I', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3476, 8320, 9504, 9216, 8192], 'label': '16384.mu.256.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.F', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709486
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.I', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3513, 11284, 9504, 9216, 8192], 'label': '16384.mu.256.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.G', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709487
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 3232, 64, 9216, 8192, 256], 'label': '16384.mu.256.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.H', 'subgroup_fusion': None, 'weyl_group': '64.134'}
  • id: 151709488
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9236, 2048, 9568, 9216, 8192, 256], 'label': '16384.mu.256.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.I', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709489
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 64, 9216, 8192, 256], 'label': '16384.mu.256.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.J', 'subgroup_fusion': None, 'weyl_group': '64.73'}
  • id: 151709490
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2137, 11284, 64, 9216, 8192, 256], 'label': '16384.mu.256.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.K', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709491
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.U', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8601, 11284, 64, 9216, 8192, 256], 'label': '16384.mu.256.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.L', 'subgroup_fusion': None, 'weyl_group': '64.134'}
  • id: 151709492
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 10688, 64, 9216, 8192], 'label': '16384.mu.256.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.M', 'subgroup_fusion': None, 'weyl_group': '128.742'}
  • id: 151709493
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1529, 11284, 64, 9216, 8192], 'label': '16384.mu.256.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.N', 'subgroup_fusion': None, 'weyl_group': '128.742'}
  • id: 151709494
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 9568, 9216, 8192, 256], 'label': '16384.mu.256.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.O', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709495
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7649, 8, 512, 8592], 'label': '16384.mu.4.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709496
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 11284, 9568, 9216, 8192, 256], 'label': '16384.mu.256.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.P', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709497
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9273, 11284, 9568, 9216, 8192, 256], 'label': '16384.mu.256.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Q', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709498
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.V', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9300, 2368, 9568, 9216, 8192], 'label': '16384.mu.256.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.R', 'subgroup_fusion': None, 'weyl_group': '128.932'}
  • id: 151709499
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.V', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9337, 11284, 9568, 9216, 8192], 'label': '16384.mu.256.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.S', 'subgroup_fusion': None, 'weyl_group': '128.932'}
  • id: 151709500
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2164, 10688, 64, 9216, 8192], 'label': '16384.mu.256.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.T', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709501
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1492, 3232, 64, 9216, 8192], 'label': '16384.mu.256.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.U', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709502
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 2368, 9568, 9216, 8192], 'label': '16384.mu.256.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.V', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709503
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1492, 9568, 64, 9216, 8192], 'label': '16384.mu.256.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.W', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709504
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9568, 10688, 64, 9216, 8192], 'label': '16384.mu.256.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.X', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709505
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.N', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [13396, 3232, 64, 9216, 8192, 256], 'label': '16384.mu.256.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Y', 'subgroup_fusion': None, 'weyl_group': '128.1746'}
  • id: 151709506
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 10, 512, 7280], 'label': '16384.mu.4.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709507
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.L', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14740, 3232, 64, 8192], 'label': '16384.mu.256.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Z', 'subgroup_fusion': None, 'weyl_group': '256.2926'}
  • id: 151709508
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.O', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9236, 9568, 64, 9216, 8192], 'label': '16384.mu.256.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BA', 'subgroup_fusion': None, 'weyl_group': '256.6334'}
  • id: 151709509
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3540, 8320, 9504, 9216, 8192], 'label': '16384.mu.256.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BB', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709510
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '256.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3540, 9568, 64, 9216, 8192], 'label': '16384.mu.256.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BC', 'subgroup_fusion': None, 'weyl_group': '256.6331'}
  • id: 151709511
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 9504, 8192, 256, 9216], 'label': '16384.mu.512.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.A', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709512
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 64, 8192, 256, 9216], 'label': '16384.mu.512.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.B', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 151709513
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 8192, 256, 9216], 'label': '16384.mu.512.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.C', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 151709514
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 9568, 8192, 256, 9216], 'label': '16384.mu.512.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.D', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709515
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2137, 11284, 8192, 256, 9216], 'label': '16384.mu.512.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.E', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709516
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2329, 11284, 8192, 256, 9216], 'label': '16384.mu.512.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.F', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709517
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 7658, 512, 7280], 'label': '16384.mu.4.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709518
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.J', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11641, 11284, 8192, 256, 9216], 'label': '16384.mu.512.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.G', 'subgroup_fusion': None, 'weyl_group': '32.28'}
  • id: 151709519
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11604, 9568, 8192, 256, 9216], 'label': '16384.mu.512.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.H', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709520
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2164, 64, 8192, 256, 9216], 'label': '16384.mu.512.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.I', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709521
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8628, 64, 8192, 256, 9216], 'label': '16384.mu.512.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.J', 'subgroup_fusion': None, 'weyl_group': '64.134'}
  • id: 151709522
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3232, 64, 8192, 256, 9216], 'label': '16384.mu.512.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.K', 'subgroup_fusion': None, 'weyl_group': '64.134'}
  • id: 151709523
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.R', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2048, 9568, 8192, 256, 9216], 'label': '16384.mu.512.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.L', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709524
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11604, 9504, 8192, 256, 9216], 'label': '16384.mu.512.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.M', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709525
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9568, 64, 8192, 256, 9216], 'label': '16384.mu.512.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.N', 'subgroup_fusion': None, 'weyl_group': '128.753'}
  • id: 151709526
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10688, 64, 8192, 9216], 'label': '16384.mu.512.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.O', 'subgroup_fusion': None, 'weyl_group': '128.742'}
  • id: 151709527
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.T', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1492, 64, 8192, 9216], 'label': '16384.mu.512.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.P', 'subgroup_fusion': None, 'weyl_group': '128.742'}
  • id: 151709528
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 7658, 512, 8592], 'label': '16384.mu.4.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709529
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.H', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8640, 9504, 8192, 256, 9216], 'label': '16384.mu.512.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.Q', 'subgroup_fusion': None, 'weyl_group': '128.931'}
  • id: 151709530
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8320, 9504, 8192, 9216], 'label': '16384.mu.512.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.R', 'subgroup_fusion': None, 'weyl_group': '128.928'}
  • id: 151709531
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '512.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '128.V', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9300, 9568, 8192, 9216], 'label': '16384.mu.512.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.S', 'subgroup_fusion': None, 'weyl_group': '128.932'}
  • id: 151709532
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 8192, 9216, 256], 'label': '16384.mu.1024.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.A', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151709533
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11321, 11284, 9216, 256], 'label': '16384.mu.1024.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.B', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151709534
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3129, 11284, 9216, 256], 'label': '16384.mu.1024.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.C', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151709535
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2356, 8192, 9216, 256], 'label': '16384.mu.1024.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.D', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709536
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11604, 8192, 9216, 256], 'label': '16384.mu.1024.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.E', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 151709537
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 8192, 9216, 256], 'label': '16384.mu.1024.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.F', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 151709538
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.R', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9504, 8192, 9216, 256], 'label': '16384.mu.1024.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.G', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709539
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 7650, 520, 14400], 'label': '16384.mu.4.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709540
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9568, 8192, 9216, 256], 'label': '16384.mu.1024.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.H', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709541
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '1024.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.P', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2164, 8192, 9216, 256], 'label': '16384.mu.1024.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.I', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151709542
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2048.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 9216, 256], 'label': '16384.mu.2048.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.A', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151709543
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2048.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8192, 9216, 256], 'label': '16384.mu.2048.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.B', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151709544
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2048.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3092, 9216, 256], 'label': '16384.mu.2048.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.C', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151709545
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4096.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2068, 256], 'label': '16384.mu.4096.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151709546
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4096.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9216, 256], 'label': '16384.mu.4096.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151709547
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4096.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11284, 256], 'label': '16384.mu.4096.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.C', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151709548
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8192.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8192.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [256], 'label': '16384.mu.8192.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8192.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8192.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151709549
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '16384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '16384.mu.16384.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16384.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16384.a1.N', 'projective_image': '16384.mu', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151709550
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 2, 512, 14400, 7280], 'label': '16384.mu.2.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709551
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 10, 512, 8592], 'label': '16384.mu.4.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709552
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 15074, 520], 'label': '16384.mu.4.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709554
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [15073, 2, 520, 14400], 'label': '16384.mu.4.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709555
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7745, 2, 520, 7648], 'label': '16384.mu.4.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709556
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 2, 512, 7280], 'label': '16384.mu.4.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709557
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 10, 512, 7280], 'label': '16384.mu.4.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709558
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 10, 512, 8592], 'label': '16384.mu.4.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709559
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 2, 520, 14400], 'label': '16384.mu.4.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709560
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7657, 7658, 512, 8592], 'label': '16384.mu.4.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709561
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 514, 520, 7648], 'label': '16384.mu.2.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709562
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [15073, 514, 520], 'label': '16384.mu.4.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709563
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [513, 7650, 520, 14400], 'label': '16384.mu.4.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709564
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [513, 2, 520, 7648], 'label': '16384.mu.4.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709565
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14409, 2, 512, 7280], 'label': '16384.mu.4.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709566
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 2, 512, 14400], 'label': '16384.mu.4.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709567
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 2, 6064, 14400], 'label': '16384.mu.4.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.E', 'old_label': '4.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709568
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14401, 514, 520], 'label': '16384.mu.4.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709569
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '4.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 514, 520], 'label': '16384.mu.4.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709570
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 512, 9236, 7648, 64, 14400, 10688, 9568], 'label': '16384.mu.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709571
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 9236, 7280, 7648, 14400, 10688], 'label': '16384.mu.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709572
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 2, 8], 'label': '16384.mu.2.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709573
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7289, 6064, 9236, 7648, 14400, 10688], 'label': '16384.mu.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709574
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15073, 15080, 8592, 10688, 1440, 64], 'label': '16384.mu.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709575
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 7656, 7280, 64, 10688], 'label': '16384.mu.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709576
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7649, 8, 7280, 10688], 'label': '16384.mu.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709577
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 520, 8592, 1440], 'label': '16384.mu.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709578
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [515, 9236, 7280, 7648, 14400, 10688], 'label': '16384.mu.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709579
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [512, 9236, 7280, 7648, 14400], 'label': '16384.mu.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709580
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 512, 9236, 7648, 14400], 'label': '16384.mu.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709581
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [520, 9236, 7280, 7648, 14400], 'label': '16384.mu.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709582
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 7280, 14400, 7648], 'label': '16384.mu.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709583
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '2.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 514, 520, 14400], 'label': '16384.mu.2.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709584
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [522, 7280, 14400, 10688, 7648], 'label': '16384.mu.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709585
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 7280, 14400, 7648], 'label': '16384.mu.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709586
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 9236, 7280, 7648], 'label': '16384.mu.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709587
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [523, 7280, 14400, 7648], 'label': '16384.mu.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709588
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 7280, 14400, 7648], 'label': '16384.mu.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709589
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11, 7280, 14400, 7648], 'label': '16384.mu.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709590
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513, 15080, 8592, 10688, 1440], 'label': '16384.mu.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709591
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 7280, 10688], 'label': '16384.mu.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709592
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15073, 520, 8592, 1440], 'label': '16384.mu.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151709593
    {'ambient': '16384.mu', 'aut_centralizer_order': None, 'aut_label': '8.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 15082, 8592, 10688, 14400], 'label': '16384.mu.8.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.V', 'subgroup_fusion': None, 'weyl_group': None}