Abstract group data - 20480.e

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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': '8.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 40, 'aut_gen_orders': [4, 10, 8], 'aut_gens': [[2306727901744760880, 1919603116676412841], [1029254836315927391, 892198022286850566], [1914672366650159977, 1919603116716324487], [2428018622399496961, 257206665565757230]], 'aut_group': '81920.lp', 'aut_hash': 2123825572078512103, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 81920, 'aut_permdeg': 1280, 'aut_perms': [98049142473363039561234642622962914476258891143411029463317086553066467162955279480250360608411687593613955203651394019021735223407714839938970390622818889738982521656921199004075250423913742903607040936993943173354679366354965388648825784153645765540012336070146187704200101148910397172615424422620197417894979534421254723558758915848570648375443610960424268827874667691845657245045771339545377532951753507442353945257518565023911544443977566255946173470055276364406848391188583902003003982976770728363642841482705740548917372453379355378255478623037381870588799490943408903308139727306319080394486424563167349460295789727308701530617162093980069165515383016841035720025255673074761371725560330246469787880327700998980663971980080651089736496045869710313947519042543246633032335115101464461028253509418306297246960728024557231801654521612830865520220942295695009960676163665004083018279955930073599665000337369505630910302440739636982107330957274974163202410492530709213788364016541707585366641892713487849541733382601834682792032765808257123063302309521494503043881197466482901459566672043611217112094015572831434863425417138583580578246704049461506468804175115248284539808329853794801264502347753874999677857890680238261188612854132092246194874303726659952476210402655720856120693580648671914740180777680744840114645019746175069223710222782109182939161148682293675311088299846149811620444134093135734315230360648457831832267776930229496879891053703212204636673246254237070925988471074287812404403345422318993126827624624773965834122016229933509945508285047828132675027058952975209527575594417677565184220962092878692995032519969021549305729844497453924666104053751041222079509014564806599914013154923698158456940492820664579679802513148262910206015374372700358759974639153661329467400999820145088027196997201664902259667991647103538879274147713922879675187319234650149108612656731038129624984579156194125895859592858854410544304119775721896352338924563927086450523988303150677301208937628680865057268632652108762455162404796095565391517678120158203262190672903128715670448352222625571361862396702854589429950789269127140918093601247673879145867209161116507073296853257176596222967700679887990170443906068089230582600631455270893734820046321632237707850342512333660858134287937694540853459727433384597979110323552394898099114399325811627470572668969097819344045150889284370364114563931972404125606676731545366630632305828170799409126741986579683027046006882510986611036960514897077130062689239060185258404889359429127091992496082173091907325315857258231094374330744225132114729716303320265005012426440303318423473258465258356994835963151079815634153581645458212828705298749686385331815622540227002559904302778181507729174012101953291865321546957272695933976298140827429043835833458647167624237663207263962363022089421857505960390622647489639168264488429021424105268060359604380717376903622779027701380283193241179411637479389948112303559681817786684999068457920910138296213915819292195874096733661368134902827705636706417154058937182278874408641373923269401116125494400889317683941344221280589776737184022030720045485112802522559991377035632723199317251501823792069720935094809155909616567882394900494519555489889045205385370911618358178859735589755789496709226093392474158217575260252489102228023019869855358312630735170042289248387086325641950548979254641362740330614340817192201009303405707995559739902909739401535412, 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'aut_phi_ratio': 10.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 5, 1, 2], [2, 10, 1, 2], [2, 10, 2, 2], [2, 20, 1, 2], [2, 20, 2, 4], [2, 32, 1, 1], [2, 40, 1, 6], [2, 80, 2, 1], [2, 160, 1, 1], [4, 80, 2, 1], [4, 160, 1, 2], [4, 160, 2, 5], [4, 320, 2, 3], [4, 320, 4, 1], [4, 640, 2, 2], [5, 1024, 1, 1], [8, 640, 2, 2], [8, 640, 4, 2], [10, 1024, 1, 1], [10, 1024, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.C_2\\wr F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 40, 'autcentquo_group': '20480.df', 'autcentquo_hash': 6280847578562250273, 'autcentquo_nilpotent': False, 'autcentquo_order': 20480, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^5.C_2\\wr F_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 5, 2], [2, 10, 6], [2, 20, 10], [2, 32, 1], [2, 40, 6], [2, 80, 2], [2, 160, 1], [4, 80, 2], [4, 160, 12], [4, 320, 10], [4, 640, 4], [5, 1024, 1], [8, 640, 12], [10, 1024, 3]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '10240.l', 'commutator_count': 1, 'commutator_label': '2560.o', 'complements_known': False, 'complete': False, 'complex_characters_known': True, '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', '5.1'], 'composition_length': 13, 'conjugacy_classes_known': True, 'counter': 5, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 5, 1, 2], [2, 10, 1, 6], [2, 20, 1, 10], [2, 32, 1, 1], [2, 40, 1, 6], [2, 80, 1, 2], [2, 160, 1, 1], [4, 80, 1, 2], [4, 160, 1, 12], [4, 320, 1, 10], [4, 640, 2, 2], [5, 1024, 1, 1], [8, 640, 2, 6], [10, 1024, 1, 1], [10, 1024, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 40, 'exponents_of_order': [12, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[10, 0, 4], [10, 1, 4], [20, 1, 10], [40, 1, 3]], 'familial': False, 'frattini_label': '32.51', 'frattini_quotient': '640.21536', 'hash': 5706427954891769889, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 40, 'inner_gen_orders': [8, 10], 'inner_gens': [[2306727901744760880, 378853073609040305], [1285750120714226224, 1919603116676412841]], 'inner_hash': 8329387163847495706, 'inner_nilpotent': False, 'inner_order': 10240, 'inner_split': None, 'inner_tex': 'C_2^8.(C_2\\times F_5)', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 10, 'irrQ_dim': 10, 'irrR_degree': 10, 'irrep_stats': [[1, 8], [2, 2], [4, 4], [5, 8], [10, 26], [20, 20], [40, 6]], 'label': '20480.e', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C2^9.(C2*F5)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 44, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 74, 'number_divisions': 65, 'number_normal_subgroups': 19, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 20480, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 863], [4, 7840], [5, 1024], [8, 7680], [10, 3072]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [357001329489847, 0], 'outer_gens': [[1029254836315927391, 892198022286850566], [1542602400298876783, 770554223285448966]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [2, 13], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 2], [5, 4], [8, 1], [10, 20], [20, 24], [40, 6]], 'representations': {'PC': {'code': '439274010484232073830225127617223342299916558609071060367541095183902458305030137193216650060094504053890681514141130489824864868702402312931448545741585817344002675501794144348356482107004985856249126324520565672247296', 'gens': [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13], 'pres': [13, -2, -2, -2, -5, -2, 2, 2, 2, 2, 2, 2, 2, 2, 26, 180454, 5150, 72477, 106, 142691, 348208, 969804, 178117, 50080, 44568, 31205, 115458, 372091, 81944, 156526, 254819, 111962, 9145, 266247, 844500, 473233, 216366, 1263608, 367401, 421234, 2972, 2262009, 798222, 107935, 249648, 2322330, 1367103, 537716, 261024, 81131, 892344, 739477, 244190, 1703532, 1125565, 393808, 320306]}, 'Perm': {'d': 20, 'gens': [2306727901744760880, 1919603116676412841]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 128, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^9.(C_2\\times F_5)', 'transitive_degree': 20, '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: 109200031
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 5, 'group_order': 20480, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 109200042
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 5, 'group_order': 20480, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 122002101778601647, 'size': 1}
  • id: 109200053
    {'aut_label': '2B', 'centralizer': '5.a1', 'counter': 3, 'group_counter': 5, 'group_order': 20480, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 39916801, 'size': 5}
  • id: 109200064
    {'aut_label': '2C', 'centralizer': '5.a1', 'counter': 4, 'group_counter': 5, 'group_order': 20480, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 122002095551580841, 'size': 5}
  • id: 109200075
    {'aut_label': '2D', 'centralizer': '10.E', 'counter': 5, 'group_counter': 5, 'group_order': 20480, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 1307674736047, 'size': 10}
  • id: 109200086
    {'aut_label': '2E', 'centralizer': '10.D', 'counter': 6, 'group_counter': 5, 'group_order': 20480, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 1313941305727, 'size': 10}
  • id: 109200097
    {'aut_label': '2D', 'centralizer': '10.E', 'counter': 7, 'group_counter': 5, 'group_order': 20480, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 355693655479807, 'size': 10}
  • id: 109200103
    {'aut_label': '2G', 'centralizer': '10.E', 'counter': 8, 'group_counter': 5, 'group_order': 20480, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 121646408083205046, 'size': 10}
  • id: 109200104
    {'aut_label': '2G', 'centralizer': '10.E', 'counter': 9, 'group_counter': 5, 'group_order': 20480, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 356995102464007, 'size': 10}
  • id: 109200032
    {'aut_label': '2I', 'centralizer': '10.D', 'counter': 10, 'group_counter': 5, 'group_order': 20480, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 1307714284921, 'size': 10}
  • id: 109200033
    {'aut_label': '2J', 'centralizer': '20.U', 'counter': 11, 'group_counter': 5, 'group_order': 20480, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 7, 'size': 20}
  • id: 109200034
    {'aut_label': '2K', 'centralizer': '20.U', 'counter': 12, 'group_counter': 5, 'group_order': 20480, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 40284847, 'size': 20}
  • id: 109200035
    {'aut_label': '2L', 'centralizer': '20.T', 'counter': 13, 'group_counter': 5, 'group_order': 20480, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 6227020927, 'size': 20}
  • id: 109200036
    {'aut_label': '2J', 'centralizer': '20.U', 'counter': 14, 'group_counter': 5, 'group_order': 20480, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 1307714652841, 'size': 20}
  • id: 109200037
    {'aut_label': '2L', 'centralizer': '20.T', 'counter': 15, 'group_counter': 5, 'group_order': 20480, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 355693695401647, 'size': 20}
  • id: 109200038
    {'aut_label': '2O', 'centralizer': '20.T', 'counter': 16, 'group_counter': 5, 'group_order': 20480, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 39921840, 'size': 20}
  • id: 109200039
    {'aut_label': '2P', 'centralizer': '20.U', 'counter': 17, 'group_counter': 5, 'group_order': 20480, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 357001369769646, 'size': 20}
  • id: 109200040
    {'aut_label': '2O', 'centralizer': '20.T', 'counter': 18, 'group_counter': 5, 'group_order': 20480, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 356995142743801, 'size': 20}
  • id: 109200041
    {'aut_label': '2P', 'centralizer': '20.U', 'counter': 19, 'group_counter': 5, 'group_order': 20480, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 121645106675769601, 'size': 20}
  • id: 109200043
    {'aut_label': '2S', 'centralizer': '20.U', 'counter': 20, 'group_counter': 5, 'group_order': 20480, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 121645100408832127, 'size': 20}
  • id: 109200044
    {'aut_label': '2T', 'centralizer': '32.A', 'counter': 21, 'group_counter': 5, 'group_order': 20480, 'label': '2T', 'order': 2, 'powers': [1, 21], 'representative': 1284254859347712000, 'size': 32}
  • id: 109200045
    {'aut_label': '2U', 'centralizer': '40.A', 'counter': 22, 'group_counter': 5, 'group_order': 20480, 'label': '2U', 'order': 2, 'powers': [1, 22], 'representative': 363007, 'size': 40}
  • id: 109200046
    {'aut_label': '2V', 'centralizer': '40.A', 'counter': 23, 'group_counter': 5, 'group_order': 20480, 'label': '2V', 'order': 2, 'powers': [1, 23], 'representative': 39916927, 'size': 40}
  • id: 109200047
    {'aut_label': '2W', 'centralizer': '40.A', 'counter': 24, 'group_counter': 5, 'group_order': 20480, 'label': '2W', 'order': 2, 'powers': [1, 24], 'representative': 39921847, 'size': 40}
  • id: 109200048
    {'aut_label': '2X', 'centralizer': '40.A', 'counter': 25, 'group_counter': 5, 'group_order': 20480, 'label': '2X', 'order': 2, 'powers': [1, 25], 'representative': 6227388847, 'size': 40}
  • id: 109200049
    {'aut_label': '2Y', 'centralizer': '40.A', 'counter': 26, 'group_counter': 5, 'group_order': 20480, 'label': '2Y', 'order': 2, 'powers': [1, 26], 'representative': 6266942767, 'size': 40}
  • id: 109200050
    {'aut_label': '2Z', 'centralizer': '40.A', 'counter': 27, 'group_counter': 5, 'group_order': 20480, 'label': '2Z', 'order': 2, 'powers': [1, 27], 'representative': 1307714289967, 'size': 40}
  • id: 109200051
    {'aut_label': '2AA', 'centralizer': '80.Z', 'counter': 28, 'group_counter': 5, 'group_order': 20480, 'label': '2AA', 'order': 2, 'powers': [1, 28], 'representative': 2054405929670063689, 'size': 80}
  • id: 109200052
    {'aut_label': '2AA', 'centralizer': '80.Z', 'counter': 29, 'group_counter': 5, 'group_order': 20480, 'label': '2AB', 'order': 2, 'powers': [1, 29], 'representative': 1661993398910079353, 'size': 80}
  • id: 109200054
    {'aut_label': '2AC', 'centralizer': None, 'counter': 30, 'group_counter': 5, 'group_order': 20480, 'label': '2AC', 'order': 2, 'powers': [1, 30], 'representative': 2432546314521518153, 'size': 160}
  • id: 109200055
    {'aut_label': '4A', 'centralizer': '80.BA', 'counter': 31, 'group_counter': 5, 'group_order': 20480, 'label': '4A', 'order': 4, 'powers': [4, 31], 'representative': 1662347784890822999, 'size': 80}
  • id: 109200056
    {'aut_label': '4A', 'centralizer': '80.BA', 'counter': 32, 'group_counter': 5, 'group_order': 20480, 'label': '4B', 'order': 4, 'powers': [4, 32], 'representative': 6045372335963519, 'size': 80}
  • id: 109200057
    {'aut_label': '4C', 'centralizer': None, 'counter': 33, 'group_counter': 5, 'group_order': 20480, 'label': '4C', 'order': 4, 'powers': [8, 33], 'representative': 2054404621955778894, 'size': 160}
  • id: 109200058
    {'aut_label': '4C', 'centralizer': None, 'counter': 34, 'group_counter': 5, 'group_order': 20480, 'label': '4D', 'order': 4, 'powers': [9, 34], 'representative': 6045372335958359, 'size': 160}
  • id: 109200059
    {'aut_label': '4E', 'centralizer': None, 'counter': 35, 'group_counter': 5, 'group_order': 20480, 'label': '4E', 'order': 4, 'powers': [10, 35], 'representative': 378116658855935878, 'size': 160}
  • id: 109200060
    {'aut_label': '4F', 'centralizer': None, 'counter': 36, 'group_counter': 5, 'group_order': 20480, 'label': '4F', 'order': 4, 'powers': [8, 36], 'representative': 1148647142601902152, 'size': 160}
  • id: 109200061
    {'aut_label': '4G', 'centralizer': None, 'counter': 37, 'group_counter': 5, 'group_order': 20480, 'label': '4G', 'order': 4, 'powers': [10, 37], 'representative': 1406256954898929841, 'size': 160}
  • id: 109200062
    {'aut_label': '4H', 'centralizer': None, 'counter': 38, 'group_counter': 5, 'group_order': 20480, 'label': '4H', 'order': 4, 'powers': [10, 38], 'representative': 1540346997053894999, 'size': 160}
  • id: 109200063
    {'aut_label': '4I', 'centralizer': None, 'counter': 39, 'group_counter': 5, 'group_order': 20480, 'label': '4I', 'order': 4, 'powers': [4, 39], 'representative': 1283497326630928073, 'size': 160}
  • id: 109200065
    {'aut_label': '4J', 'centralizer': None, 'counter': 40, 'group_counter': 5, 'group_order': 20480, 'label': '4J', 'order': 4, 'powers': [4, 40], 'representative': 1284611860717113600, 'size': 160}
  • id: 109200066
    {'aut_label': '4G', 'centralizer': None, 'counter': 41, 'group_counter': 5, 'group_order': 20480, 'label': '4K', 'order': 4, 'powers': [10, 41], 'representative': 1284254865574737840, 'size': 160}
  • id: 109200067
    {'aut_label': '4E', 'centralizer': None, 'counter': 42, 'group_counter': 5, 'group_order': 20480, 'label': '4L', 'order': 4, 'powers': [10, 42], 'representative': 1283853020246128079, 'size': 160}
  • id: 109200068
    {'aut_label': '4H', 'centralizer': None, 'counter': 43, 'group_counter': 5, 'group_order': 20480, 'label': '4M', 'order': 4, 'powers': [10, 43], 'representative': 6401059764059392, 'size': 160}
  • id: 109200069
    {'aut_label': '4F', 'centralizer': None, 'counter': 44, 'group_counter': 5, 'group_order': 20480, 'label': '4N', 'order': 4, 'powers': [9, 44], 'representative': 1662347784851269198, 'size': 160}
  • id: 109200070
    {'aut_label': '4O', 'centralizer': None, 'counter': 45, 'group_counter': 5, 'group_order': 20480, 'label': '4O', 'order': 4, 'powers': [16, 45], 'representative': 6402367438790279, 'size': 320}
  • id: 109200071
    {'aut_label': '4P', 'centralizer': None, 'counter': 46, 'group_counter': 5, 'group_order': 20480, 'label': '4P', 'order': 4, 'powers': [17, 46], 'representative': 2311255600093072072, 'size': 320}
  • id: 109200072
    {'aut_label': '4Q', 'centralizer': None, 'counter': 47, 'group_counter': 5, 'group_order': 20480, 'label': '4Q', 'order': 4, 'powers': [18, 47], 'representative': 1661993405097546113, 'size': 320}
  • id: 109200073
    {'aut_label': '4P', 'centralizer': None, 'counter': 48, 'group_counter': 5, 'group_order': 20480, 'label': '4R', 'order': 4, 'powers': [17, 48], 'representative': 1919200058208530057, 'size': 320}
  • id: 109200074
    {'aut_label': '4P', 'centralizer': None, 'counter': 49, 'group_counter': 5, 'group_order': 20480, 'label': '4S', 'order': 4, 'powers': [19, 49], 'representative': 770151077073100798, 'size': 320}
  • id: 109200076
    {'aut_label': '4T', 'centralizer': None, 'counter': 50, 'group_counter': 5, 'group_order': 20480, 'label': '4T', 'order': 4, 'powers': [20, 50], 'representative': 1797554957760149177, 'size': 320}
  • id: 109200077
    {'aut_label': '4T', 'centralizer': None, 'counter': 51, 'group_counter': 5, 'group_order': 20480, 'label': '4U', 'order': 4, 'powers': [20, 51], 'representative': 1797554964027086777, 'size': 320}
  • id: 109200078
    {'aut_label': '4O', 'centralizer': None, 'counter': 52, 'group_counter': 5, 'group_order': 20480, 'label': '4V', 'order': 4, 'powers': [18, 52], 'representative': 1661993405097178312, 'size': 320}
  • id: 109200079
    {'aut_label': '4Q', 'centralizer': None, 'counter': 53, 'group_counter': 5, 'group_order': 20480, 'label': '4W', 'order': 4, 'powers': [16, 53], 'representative': 634945299583790158, 'size': 320}
  • id: 109200080
    {'aut_label': '4P', 'centralizer': None, 'counter': 54, 'group_counter': 5, 'group_order': 20480, 'label': '4X', 'order': 4, 'powers': [19, 54], 'representative': 1797197968924259903, 'size': 320}
  • id: 109200081
    {'aut_label': '4Y1', 'centralizer': None, 'counter': 55, 'group_counter': 5, 'group_order': 20480, 'label': '4Y1', 'order': 4, 'powers': [28, 55], 'representative': 1914315377734799977, 'size': 640}
  • id: 109200082
    {'aut_label': '4Y-1', 'centralizer': None, 'counter': 56, 'group_counter': 5, 'group_order': 20480, 'label': '4Y-1', 'order': 4, 'powers': [28, 56], 'representative': 261378663992385982, 'size': 640}
  • id: 109200083
    {'aut_label': '4Y1', 'centralizer': None, 'counter': 57, 'group_counter': 5, 'group_order': 20480, 'label': '4Z1', 'order': 4, 'powers': [29, 57], 'representative': 1150544249257109345, 'size': 640}
  • id: 109200084
    {'aut_label': '4Y-1', 'centralizer': None, 'counter': 58, 'group_counter': 5, 'group_order': 20480, 'label': '4Z-1', 'order': 4, 'powers': [29, 58], 'representative': 518586636668497937, 'size': 640}
  • id: 109200085
    {'aut_label': '5A', 'centralizer': None, 'counter': 59, 'group_counter': 5, 'group_order': 20480, 'label': '5A', 'order': 5, 'powers': [59, 1], 'representative': 1027759574949413041, 'size': 1024}
  • id: 109200087
    {'aut_label': '8A1', 'centralizer': None, 'counter': 60, 'group_counter': 5, 'group_order': 20480, 'label': '8A1', 'order': 8, 'powers': [33, 60], 'representative': 1538829410732029854, 'size': 640}
  • id: 109200088
    {'aut_label': '8A-1', 'centralizer': None, 'counter': 61, 'group_counter': 5, 'group_order': 20480, 'label': '8A-1', 'order': 8, 'powers': [33, 61], 'representative': 515220837697399800, 'size': 640}
  • id: 109200089
    {'aut_label': '8B1', 'centralizer': None, 'counter': 62, 'group_counter': 5, 'group_order': 20480, 'label': '8B1', 'order': 8, 'powers': [31, 62], 'representative': 2428373002153230126, 'size': 640}
  • id: 109200090
    {'aut_label': '8B-1', 'centralizer': None, 'counter': 63, 'group_counter': 5, 'group_order': 20480, 'label': '8B-1', 'order': 8, 'powers': [31, 63], 'representative': 1917326790685590473, 'size': 640}
  • id: 109200091
    {'aut_label': '8B1', 'centralizer': None, 'counter': 64, 'group_counter': 5, 'group_order': 20480, 'label': '8C1', 'order': 8, 'powers': [32, 64], 'representative': 123519782032455601, 'size': 640}
  • id: 109200092
    {'aut_label': '8B-1', 'centralizer': None, 'counter': 65, 'group_counter': 5, 'group_order': 20480, 'label': '8C-1', 'order': 8, 'powers': [32, 65], 'representative': 126174106391967359, 'size': 640}
  • id: 109200093
    {'aut_label': '8A1', 'centralizer': None, 'counter': 66, 'group_counter': 5, 'group_order': 20480, 'label': '8D1', 'order': 8, 'powers': [34, 66], 'representative': 1282000770044092494, 'size': 640}
  • id: 109200094
    {'aut_label': '8A-1', 'centralizer': None, 'counter': 67, 'group_counter': 5, 'group_order': 20480, 'label': '8D-1', 'order': 8, 'powers': [34, 67], 'representative': 1286105808182244184, 'size': 640}
  • id: 109200095
    {'aut_label': '8A-1', 'centralizer': None, 'counter': 68, 'group_counter': 5, 'group_order': 20480, 'label': '8E1', 'order': 8, 'powers': [33, 68], 'representative': 1542602400299239657, 'size': 640}
  • id: 109200096
    {'aut_label': '8A1', 'centralizer': None, 'counter': 69, 'group_counter': 5, 'group_order': 20480, 'label': '8E-1', 'order': 8, 'powers': [33, 69], 'representative': 2052888349615448398, 'size': 640}
  • id: 109200098
    {'aut_label': '8A1', 'centralizer': None, 'counter': 70, 'group_counter': 5, 'group_order': 20480, 'label': '8F1', 'order': 8, 'powers': [34, 70], 'representative': 2309737913611839232, 'size': 640}
  • id: 109200099
    {'aut_label': '8A-1', 'centralizer': None, 'counter': 71, 'group_counter': 5, 'group_order': 20480, 'label': '8F-1', 'order': 8, 'powers': [34, 71], 'representative': 772426189321130584, 'size': 640}
  • id: 109200100
    {'aut_label': '10A', 'centralizer': None, 'counter': 72, 'group_counter': 5, 'group_order': 20480, 'label': '10A', 'order': 10, 'powers': [59, 2], 'representative': 635702731617571056, 'size': 1024}
  • id: 109200101
    {'aut_label': '10B1', 'centralizer': None, 'counter': 73, 'group_counter': 5, 'group_order': 20480, 'label': '10B1', 'order': 10, 'powers': [59, 21], 'representative': 1919603122943345407, 'size': 1024}
  • id: 109200102
    {'aut_label': '10B1', 'centralizer': None, 'counter': 74, 'group_counter': 5, 'group_order': 20480, 'label': '10B3', 'order': 10, 'powers': [59, 21], 'representative': 378496078506576310, 'size': 1024}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 4182191
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4182202
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 4182213
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4182224
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 4182235
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2], 'schur_index': 1}
  • id: 4182246
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], 'schur_index': 1}
  • id: 4182253
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 0, -2, 2, -2, 2, -2, 2, -2, 2, 0, -2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 4182254
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 0, -2, 2, -2, 2, -2, 2, 2, -2, 0, 2, -2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 4182255
    {'cdim': 4, 'counter': 9, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.4a', 'multiplicity': 1, 'nt': [5, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1], 'schur_index': 1}
  • id: 4182192
    {'cdim': 4, 'counter': 10, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.4b', 'multiplicity': 1, 'nt': [10, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1], 'schur_index': 1}
  • id: 4182194
    {'cdim': 5, 'counter': 12, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5a', 'multiplicity': 1, 'nt': [10, 24], 'qdim': 5, 'qvalues': [5, 5, 5, 5, -3, 5, -3, 5, -3, -3, 1, 1, -3, -3, 1, 1, 1, 1, 1, 1, 5, -3, 1, 1, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 0, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4182195
    {'cdim': 5, 'counter': 13, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5b', 'multiplicity': 1, 'nt': [10, 25], 'qdim': 5, 'qvalues': [5, 5, 5, 5, -3, 5, -3, 5, -3, -3, 1, 1, -3, -3, 1, 1, 1, 1, 1, 1, 5, -3, 1, 1, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 0, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4182196
    {'cdim': 5, 'counter': 14, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5c', 'multiplicity': 1, 'nt': [10, 29], 'qdim': 5, 'qvalues': [5, 5, 5, 5, -3, 5, -3, 5, -3, -3, 1, 1, -3, -3, 1, 1, 1, 1, 1, 1, -5, -3, 1, 1, -3, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 3, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 0, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4182197
    {'cdim': 5, 'counter': 15, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5d', 'multiplicity': 1, 'nt': [10, 29], 'qdim': 5, 'qvalues': [5, 5, 5, 5, -3, 5, -3, 5, -3, -3, 1, 1, -3, -3, 1, 1, 1, 1, 1, 1, -5, -3, 1, 1, -3, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 3, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 0, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4182193
    {'cdim': 4, 'counter': 11, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.4c', 'multiplicity': 2, 'nt': [20, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, -8, -8, 8, 8, -8, 8, 8, -8, 8, 8, -8, -8, -8, 8, 0, -8, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 4182198
    {'cdim': 5, 'counter': 16, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5e', 'multiplicity': 2, 'nt': [20, 88], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -6, 10, -6, 10, -6, -6, 2, 2, -6, -6, 2, 2, 2, 2, 2, 2, 10, -6, 2, 2, -6, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -6, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182199
    {'cdim': 5, 'counter': 17, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.5f', 'multiplicity': 2, 'nt': [20, 135], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -6, 10, -6, 10, -6, -6, 2, 2, -6, -6, 2, 2, 2, 2, 2, 2, -10, -6, 2, 2, -6, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 6, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182200
    {'cdim': 10, 'counter': 18, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10a', 'multiplicity': 1, 'nt': [16, 711], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 2, 10, 2, 10, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 10, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182201
    {'cdim': 10, 'counter': 19, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10b', 'multiplicity': 1, 'nt': [20, 77], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 2, 10, 2, 10, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 10, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182203
    {'cdim': 10, 'counter': 20, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10c', 'multiplicity': 1, 'nt': [20, 129], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 2, 10, 2, 10, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -10, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182204
    {'cdim': 10, 'counter': 21, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10d', 'multiplicity': 1, 'nt': [20, 132], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 2, 10, 2, 10, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -10, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182205
    {'cdim': 10, 'counter': 22, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10e', 'multiplicity': 1, 'nt': [20, 191], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 6, 10, 6, -10, -6, -6, -2, 2, -6, 6, 2, 2, -2, -2, -2, 2, 0, 6, 2, -2, -6, -2, 2, -2, 2, 0, -2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182206
    {'cdim': 10, 'counter': 23, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10f', 'multiplicity': 1, 'nt': [20, 191], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 6, 10, 6, -10, -6, -6, -2, 2, -6, 6, 2, 2, -2, -2, -2, 2, 0, 6, 2, -2, -6, -2, 2, 2, -2, 0, 2, -2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 2, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182207
    {'cdim': 10, 'counter': 24, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10g', 'multiplicity': 1, 'nt': [20, 192], 'qdim': 10, 'qvalues': [10, -10, -10, 10, -2, 10, -2, -10, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 0, -2, -2, 2, 2, 2, -2, -2, 2, 0, -2, 2, 2, 2, -4, 0, 4, 0, -2, 2, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182208
    {'cdim': 10, 'counter': 25, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10h', 'multiplicity': 1, 'nt': [20, 192], 'qdim': 10, 'qvalues': [10, -10, -10, 10, -2, 10, -2, -10, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 0, -2, -2, 2, 2, 2, -2, -2, 2, 0, -2, 2, 2, 2, 4, 0, -4, 0, -2, 2, 0, 0, -2, -2, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182209
    {'cdim': 10, 'counter': 26, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10i', 'multiplicity': 1, 'nt': [20, 192], 'qdim': 10, 'qvalues': [10, -10, -10, 10, -2, 10, -2, -10, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 0, -2, -2, 2, 2, 2, -2, 2, -2, 0, 2, -2, -2, -2, -4, 0, 4, 0, 2, -2, 0, 0, 2, 2, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182210
    {'cdim': 10, 'counter': 27, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10j', 'multiplicity': 1, 'nt': [20, 192], 'qdim': 10, 'qvalues': [10, -10, -10, 10, -2, 10, -2, -10, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 0, -2, -2, 2, 2, 2, -2, 2, -2, 0, 2, -2, -2, -2, 4, 0, -4, 0, 2, -2, 0, 0, 2, 2, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182211
    {'cdim': 10, 'counter': 28, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10k', 'multiplicity': 1, 'nt': [20, 416], 'qdim': 10, 'qvalues': [10, 10, -6, -6, 2, 2, 2, 2, 2, 2, -6, -2, 2, 2, -6, 6, -2, 2, 6, 2, 0, -2, 2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182212
    {'cdim': 10, 'counter': 29, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10l', 'multiplicity': 1, 'nt': [20, 416], 'qdim': 10, 'qvalues': [10, 10, -6, -6, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, -2, 6, -6, -2, -6, 0, -2, 2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182214
    {'cdim': 10, 'counter': 30, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10m', 'multiplicity': 1, 'nt': [20, 420], 'qdim': 10, 'qvalues': [10, 10, -6, -6, 2, 2, 2, 2, 2, 2, -6, -2, 2, 2, -6, 6, -2, 2, 6, 2, 0, -2, 2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182215
    {'cdim': 10, 'counter': 31, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10n', 'multiplicity': 1, 'nt': [20, 420], 'qdim': 10, 'qvalues': [10, 10, -6, -6, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, -2, 6, -6, -2, -6, 0, -2, 2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182216
    {'cdim': 10, 'counter': 32, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10o', 'multiplicity': 1, 'nt': [20, 514], 'qdim': 10, 'qvalues': [10, -10, 6, -6, -2, 2, -2, -2, 2, 2, -2, 6, 2, -2, 2, -2, -6, 6, 2, -6, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182217
    {'cdim': 10, 'counter': 33, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10p', 'multiplicity': 1, 'nt': [20, 514], 'qdim': 10, 'qvalues': [10, -10, 6, -6, -2, 2, -2, -2, 2, 2, -2, 6, 2, -2, 2, -2, -6, 6, 2, -6, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182218
    {'cdim': 10, 'counter': 34, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10q', 'multiplicity': 1, 'nt': [20, 514], 'qdim': 10, 'qvalues': [10, -10, 6, -6, -2, 2, -2, -2, 2, 2, 6, -2, 2, -2, -6, 6, 2, -2, -6, 2, 0, 2, 2, 2, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'schur_index': 1}
  • id: 4182219
    {'cdim': 10, 'counter': 35, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10r', 'multiplicity': 1, 'nt': [20, 514], 'qdim': 10, 'qvalues': [10, -10, 6, -6, -2, 2, -2, -2, 2, 2, 6, -2, 2, -2, -6, 6, 2, -2, -6, 2, 0, 2, 2, 2, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0], 'schur_index': 1}
  • id: 4182220
    {'cdim': 10, 'counter': 36, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10s', 'multiplicity': 2, 'nt': [40, 5947], 'qdim': 20, 'qvalues': [20, 20, -12, -12, 4, 4, 4, 4, 4, 4, -12, -4, 4, 4, -12, 12, -4, 4, 12, 4, 0, -4, 4, -4, -4, 4, -4, -4, -4, 0, -4, -4, 4, -4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182221
    {'cdim': 10, 'counter': 37, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10t', 'multiplicity': 2, 'nt': [40, 5947], 'qdim': 20, 'qvalues': [20, 20, -12, -12, 4, 4, 4, 4, 4, 4, 4, 12, 4, 4, 4, -4, 12, -12, -4, -12, 0, -4, 4, -4, -4, 4, -4, -4, -4, 0, -4, -4, 4, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182222
    {'cdim': 10, 'counter': 38, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10u', 'multiplicity': 2, 'nt': [40, 11373], 'qdim': 20, 'qvalues': [20, -20, 12, -12, -4, 4, -4, -4, 4, 4, -4, 12, 4, -4, 4, -4, -12, 12, 4, -12, 0, 4, 4, 4, -4, -4, -4, 4, -4, 0, 4, -4, 4, -4, 0, 0, 0, 0, 4, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182223
    {'cdim': 10, 'counter': 39, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.10v', 'multiplicity': 2, 'nt': [40, 11373], 'qdim': 20, 'qvalues': [20, -20, 12, -12, -4, 4, -4, -4, 4, 4, 12, -4, 4, -4, -12, 12, 4, -4, -12, 4, 0, 4, 4, 4, -4, -4, -4, -4, 4, 0, -4, 4, -4, -4, 0, 0, 0, 0, 4, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182225
    {'cdim': 20, 'counter': 40, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20a', 'multiplicity': 1, 'nt': [32, 720304], 'qdim': 20, 'qvalues': [20, 20, 4, 4, -4, -4, 12, -4, -4, 12, -4, 8, -4, -4, -4, 0, 8, 4, 0, 4, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182226
    {'cdim': 20, 'counter': 41, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20b', 'multiplicity': 1, 'nt': [32, 720304], 'qdim': 20, 'qvalues': [20, 20, 4, 4, 12, -4, -4, -4, 12, -4, 4, 0, -4, -4, 4, 8, 0, -4, 8, -4, 0, 0, -4, 0, 0, -4, 0, 4, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182227
    {'cdim': 20, 'counter': 42, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20c', 'multiplicity': 1, 'nt': [40, 5928], 'qdim': 20, 'qvalues': [20, 20, -12, -12, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 0, -4, -4, 4, -4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182228
    {'cdim': 20, 'counter': 43, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20d', 'multiplicity': 1, 'nt': [40, 5929], 'qdim': 20, 'qvalues': [20, 20, -12, -12, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 0, -4, -4, 4, -4, -4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182229
    {'cdim': 20, 'counter': 44, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20e', 'multiplicity': 1, 'nt': [40, 5931], 'qdim': 20, 'qvalues': [20, 20, 4, 4, -12, -4, 4, -4, -12, 4, 8, -4, 4, 4, 8, 4, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182230
    {'cdim': 20, 'counter': 45, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20f', 'multiplicity': 1, 'nt': [40, 5931], 'qdim': 20, 'qvalues': [20, 20, 4, 4, 4, -4, -12, -4, 4, -12, 0, 4, 4, 4, 0, -4, 4, 8, -4, 8, 0, 0, 0, -4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182231
    {'cdim': 20, 'counter': 46, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20g', 'multiplicity': 1, 'nt': [40, 5932], 'qdim': 20, 'qvalues': [20, 20, 4, 4, -12, -4, 4, -4, -12, 4, 8, -4, 4, 4, 8, 4, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182232
    {'cdim': 20, 'counter': 47, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20h', 'multiplicity': 1, 'nt': [40, 5932], 'qdim': 20, 'qvalues': [20, 20, 4, 4, 4, -4, -12, -4, 4, -12, 0, 4, 4, 4, 0, -4, 4, 8, -4, 8, 0, 0, 0, -4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182233
    {'cdim': 20, 'counter': 48, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20i', 'multiplicity': 1, 'nt': [40, 5944], 'qdim': 20, 'qvalues': [20, 20, 4, 4, -4, -4, 12, -4, -4, 12, -4, 8, -4, -4, -4, 0, 8, 4, 0, 4, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182234
    {'cdim': 20, 'counter': 49, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20j', 'multiplicity': 1, 'nt': [40, 5944], 'qdim': 20, 'qvalues': [20, 20, 4, 4, 12, -4, -4, -4, 12, -4, 4, 0, -4, -4, 4, 8, 0, -4, 8, -4, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182236
    {'cdim': 20, 'counter': 50, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20k', 'multiplicity': 1, 'nt': [40, 11336], 'qdim': 20, 'qvalues': [20, -20, -4, 4, -4, -4, 12, 4, 4, -12, 0, 4, 4, -4, 0, -4, -4, -8, 4, 8, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182237
    {'cdim': 20, 'counter': 51, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20l', 'multiplicity': 1, 'nt': [40, 11336], 'qdim': 20, 'qvalues': [20, -20, -4, 4, -4, -4, 12, 4, 4, -12, 0, 4, 4, -4, 0, -4, -4, -8, 4, 8, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182238
    {'cdim': 20, 'counter': 52, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20m', 'multiplicity': 1, 'nt': [40, 11336], 'qdim': 20, 'qvalues': [20, -20, -4, 4, 12, -4, -4, 4, -12, 4, -8, -4, 4, -4, 8, 4, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182239
    {'cdim': 20, 'counter': 53, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20n', 'multiplicity': 1, 'nt': [40, 11336], 'qdim': 20, 'qvalues': [20, -20, -4, 4, 12, -4, -4, 4, -12, 4, -8, -4, 4, -4, 8, 4, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182240
    {'cdim': 20, 'counter': 54, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20o', 'multiplicity': 1, 'nt': [40, 11339], 'qdim': 20, 'qvalues': [20, -20, 12, -12, -4, 4, -4, -4, 4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, 4, 0, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182241
    {'cdim': 20, 'counter': 55, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20p', 'multiplicity': 1, 'nt': [40, 11339], 'qdim': 20, 'qvalues': [20, -20, 12, -12, -4, 4, -4, -4, 4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, 4, 0, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182242
    {'cdim': 20, 'counter': 56, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20q', 'multiplicity': 1, 'nt': [40, 11360], 'qdim': 20, 'qvalues': [20, -20, -4, 4, -12, -4, 4, 4, 12, -4, -4, 0, -4, 4, 4, 8, 0, 4, -8, -4, 0, 0, -4, 0, 0, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182243
    {'cdim': 20, 'counter': 57, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20r', 'multiplicity': 1, 'nt': [40, 11360], 'qdim': 20, 'qvalues': [20, -20, -4, 4, 4, -4, -12, 4, -4, 12, 4, 8, -4, 4, -4, 0, -8, -4, 0, 4, 0, 0, -4, 0, 0, 4, 0, -4, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182244
    {'cdim': 20, 'counter': 58, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20s', 'multiplicity': 1, 'nt': [40, 11364], 'qdim': 20, 'qvalues': [20, -20, -4, 4, -12, -4, 4, 4, 12, -4, -4, 0, -4, 4, 4, 8, 0, 4, -8, -4, 0, 0, -4, 0, 0, 4, 0, -4, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182245
    {'cdim': 20, 'counter': 59, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.20t', 'multiplicity': 1, 'nt': [40, 11364], 'qdim': 20, 'qvalues': [20, -20, -4, 4, 4, -4, -12, 4, -4, 12, 4, 8, -4, 4, -4, 0, -8, -4, 0, 4, 0, 0, -4, 0, 0, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182247
    {'cdim': 40, 'counter': 60, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40a', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, -40, -8, 8, -8, -8, -8, 8, 8, 8, 0, -8, -8, 8, 0, -8, 8, 0, 8, 0, 0, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182248
    {'cdim': 40, 'counter': 61, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40b', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, -40, -8, 8, 8, -8, 8, 8, -8, -8, 8, 0, 8, -8, -8, 0, 0, 8, 0, -8, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182249
    {'cdim': 40, 'counter': 62, 'faithful': True, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40c', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, -40, 24, -24, 8, 8, 8, -8, -8, -8, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182250
    {'cdim': 40, 'counter': 63, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40d', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, 40, -24, -24, -8, 8, -8, 8, -8, -8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182251
    {'cdim': 40, 'counter': 64, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40e', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, 40, 8, 8, -8, -8, -8, -8, -8, -8, -8, 0, 8, 8, -8, 0, 0, -8, 0, -8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4182252
    {'cdim': 40, 'counter': 65, 'faithful': False, 'group': '20480.e', 'group_order': 20480, 'image': None, 'label': '20480.e.40f', 'multiplicity': 1, 'nt': [80, 0], 'qdim': 40, 'qvalues': [40, 40, 8, 8, 8, -8, 8, -8, 8, 8, 0, -8, -8, -8, 0, -8, -8, 0, -8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 6107728
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 20480, 'label': '20480.e.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6107739
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 10240, 'label': '20480.e.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6107750
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 10240, 'label': '20480.e.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6107761
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 10240, 'label': '20480.e.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6107772
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': None, 'kernel_order': 5120, 'label': '20480.e.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6107783
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': None, 'kernel_order': 5120, 'label': '20480.e.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6107794
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': None, 'kernel_order': 5120, 'label': '20480.e.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6107800
    {'center': None, 'center_index': 1, 'center_order': 20480, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': None, 'kernel_order': 5120, 'label': '20480.e.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6107801
    {'center': None, 'center_index': 4, 'center_order': 5120, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': None, 'image_order': 8, 'indicator': 1, 'kernel': None, 'kernel_order': 2560, 'label': '20480.e.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107729
    {'center': None, 'center_index': 4, 'center_order': 5120, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': None, 'image_order': 8, 'indicator': 1, 'kernel': None, 'kernel_order': 2560, 'label': '20480.e.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107730
    {'center': None, 'center_index': 20, 'center_order': 1024, 'counter': 11, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20.3', 'image_order': 20, 'indicator': 1, 'kernel': None, 'kernel_order': 1024, 'label': '20480.e.4a', 'nt': [5, 3], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6107731
    {'center': None, 'center_index': 20, 'center_order': 1024, 'counter': 12, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '40.12', 'image_order': 40, 'indicator': 1, 'kernel': None, 'kernel_order': 512, 'label': '20480.e.4b', 'nt': [10, 5], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6107732
    {'center': None, 'center_index': 40, 'center_order': 512, 'counter': 13, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '80.34', 'image_order': 80, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '20480.e.4c1', 'nt': [20, 19], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 2], [2, -2]], [[-1, 0], [-2, 2], [-2, -2]]]}
  • id: 6107733
    {'center': None, 'center_index': 40, 'center_order': 512, 'counter': 14, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '80.34', 'image_order': 80, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '20480.e.4c2', 'nt': [20, 19], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[1, 0], [2, 2], [2, -2]]]}
  • id: 6107734
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 15, 'cyclotomic_n': 1, 'dim': 5, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 1, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.5a', 'nt': [10, 24], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107735
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 16, 'cyclotomic_n': 1, 'dim': 5, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 1, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.5b', 'nt': [10, 25], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107736
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 17, 'cyclotomic_n': 1, 'dim': 5, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 1, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.5c', 'nt': [10, 29], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107737
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 18, 'cyclotomic_n': 1, 'dim': 5, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 1, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.5d', 'nt': [10, 29], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107738
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 19, 'cyclotomic_n': 4, 'dim': 5, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 0, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.5e1', 'nt': [20, 88], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107740
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 20, 'cyclotomic_n': 4, 'dim': 5, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 0, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.5e2', 'nt': [20, 2], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107741
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 21, 'cyclotomic_n': 4, 'dim': 5, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 0, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.5f1', 'nt': [20, 135], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107742
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 22, 'cyclotomic_n': 4, 'dim': 5, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 0, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.5f2', 'nt': [20, 2], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107743
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 23, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 1, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.10a', 'nt': [16, 711], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107744
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 24, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '320.1635', 'image_order': 320, 'indicator': 1, 'kernel': None, 'kernel_order': 64, 'label': '20480.e.10b', 'nt': [20, 77], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107745
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 25, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 1, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.10c', 'nt': [20, 129], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107746
    {'center': None, 'center_index': 320, 'center_order': 64, 'counter': 26, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '640.21536', 'image_order': 640, 'indicator': 1, 'kernel': None, 'kernel_order': 32, 'label': '20480.e.10d', 'nt': [20, 132], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[10, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107747
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 27, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10e', 'nt': [20, 191], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[6, 0]], [[10, 0]], [[6, 0]], [[-10, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107748
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 28, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10f', 'nt': [20, 191], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[6, 0]], [[10, 0]], [[6, 0]], [[-10, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107749
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 29, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10g', 'nt': [20, 192], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-2, 0]], [[10, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107751
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 30, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10h', 'nt': [20, 192], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-2, 0]], [[10, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107752
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 31, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10i', 'nt': [20, 192], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-2, 0]], [[10, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107753
    {'center': None, 'center_index': 640, 'center_order': 32, 'counter': 32, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '1280.1116373', 'image_order': 1280, 'indicator': 1, 'kernel': None, 'kernel_order': 16, 'label': '20480.e.10j', 'nt': [20, 192], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[-10, 0]], [[10, 0]], [[-2, 0]], [[10, 0]], [[-2, 0]], [[-10, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107754
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 33, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10k', 'nt': [20, 416], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107755
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 34, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10l', 'nt': [20, 416], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[-6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107756
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 35, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10m', 'nt': [20, 420], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107757
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 36, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10n', 'nt': [20, 420], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[-6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107758
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 37, 'cyclotomic_n': 1, 'dim': 10, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10o', 'nt': [20, 514], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-6, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107759
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 38, 'cyclotomic_n': 1, 'dim': 10, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10p', 'nt': [20, 514], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-6, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107760
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 39, 'cyclotomic_n': 1, 'dim': 10, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10q', 'nt': [20, 514], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107762
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 40, 'cyclotomic_n': 1, 'dim': 10, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10r', 'nt': [20, 514], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107763
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 41, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10s1', 'nt': [40, 5947], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107764
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 42, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10s2', 'nt': [40, 2], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107765
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 43, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10t1', 'nt': [40, 5947], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[-6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107766
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 44, 'cyclotomic_n': 4, 'dim': 10, 'faithful': False, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.10t2', 'nt': [40, 2], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[-6, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107767
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 45, 'cyclotomic_n': 4, 'dim': 10, 'faithful': True, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10u1', 'nt': [40, 11373], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-6, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107768
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 46, 'cyclotomic_n': 4, 'dim': 10, 'faithful': True, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10u2', 'nt': [40, 2], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-6, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107769
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 47, 'cyclotomic_n': 4, 'dim': 10, 'faithful': True, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10v1', 'nt': [40, 11373], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107770
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 48, 'cyclotomic_n': 4, 'dim': 10, 'faithful': True, 'field': [1, 0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.10v2', 'nt': [40, 2], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107771
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 49, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20a', 'nt': [32, 720304], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[8, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107773
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 50, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20b', 'nt': [32, 720304], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107774
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 51, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20c', 'nt': [40, 5928], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[-12, 0]], [[-12, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107775
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 52, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20d', 'nt': [40, 5929], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[-12, 0]], [[-12, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107776
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 53, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20e', 'nt': [40, 5931], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[8, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107777
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 54, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20f', 'nt': [40, 5931], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107778
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 55, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20g', 'nt': [40, 5932], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[8, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107779
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 56, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20h', 'nt': [40, 5932], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107780
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 57, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20i', 'nt': [40, 5944], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[8, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107781
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 58, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.20j', 'nt': [40, 5944], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107782
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 59, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20k', 'nt': [40, 11336], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[4, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-8, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107784
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 60, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20l', 'nt': [40, 11336], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[4, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-8, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107785
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 61, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20m', 'nt': [40, 11336], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[4, 0]], [[-8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[8, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107786
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 62, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20n', 'nt': [40, 11336], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[4, 0]], [[-8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[8, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107787
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 63, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20o', 'nt': [40, 11339], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[12, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107788
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 64, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20p', 'nt': [40, 11339], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[12, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107789
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 65, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20q', 'nt': [40, 11360], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107790
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 66, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20r', 'nt': [40, 11360], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-8, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107791
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 67, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20s', 'nt': [40, 11364], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[12, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[4, 0]], [[-8, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107792
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 68, 'cyclotomic_n': 1, 'dim': 20, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.20t', 'nt': [40, 11364], 'q_character': None, 'values': [[[20, 0]], [[-20, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-12, 0]], [[4, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-8, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107793
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 69, 'cyclotomic_n': 1, 'dim': 40, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.40a', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107795
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 70, 'cyclotomic_n': 1, 'dim': 40, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.40b', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107796
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 71, 'cyclotomic_n': 1, 'dim': 40, 'faithful': True, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '20480.e', 'image_order': 20480, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '20480.e.40c', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[24, 0]], [[-24, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107797
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 72, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.40d', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[-24, 0]], [[-24, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107798
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 73, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.40e', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6107799
    {'center': None, 'center_index': 10240, 'center_order': 2, 'counter': 74, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '20480.e', 'group_counter': 5, 'group_order': 20480, 'image': None, 'image_isoclass': '10240.l', 'image_order': 10240, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '20480.e.40f', 'nt': [80, 0], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 63753930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 20480, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '20480.e.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20480.e', 'subgroup_hash': 5706427954891769889, 'subgroup_order': 20480, 'subgroup_tex': 'C_2^9.(C_2\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 63754041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10240, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.q', 'subgroup_hash': 8056169587939057459, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^9.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10240, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.c', 'subgroup_hash': 2719389449738931077, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^9.F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5120, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.q', 'subgroup_hash': 5038344086048326760, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^9.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5120, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.g', 'subgroup_hash': 3413195323342073849, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5120, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.g', 'subgroup_hash': 3413195323342073849, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2560, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '5120.p', 'subgroup_hash': 3942934178832357549, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2560, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.f', 'subgroup_hash': 289546907729908378, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '20480.e.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4424325664209408834, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2.C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 63753931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2560, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2560.o', 'subgroup_hash': 932339277868984670, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^8:C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63753942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2560, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', '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': '2560.e', 'subgroup_hash': 4804564879408284795, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^8:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63753953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1280, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4115970269718284006, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^8.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63753964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1280, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2560.e', 'subgroup_hash': 4804564879408284795, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^8:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63753975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.10.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 507891727258652002, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63753986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.10.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 293114713858720143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63753997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.10.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6980951298821256143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63754008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.10.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.10.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': 4597964228006476595, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1280, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1280.1116356', 'subgroup_hash': 1116356, 'subgroup_order': 1280, 'subgroup_tex': 'C_2^8:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.16.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1280.1116373', 'subgroup_hash': 1116373, 'subgroup_order': 1280, 'subgroup_tex': 'C_2^6:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_5', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3220388245972211582, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63754075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6784223710506149736, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63754086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098273355914596849, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6451992742550616334, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3001938938195725266, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7194418691412455587, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3001938938195725266, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63754164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098273355914596849, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dgv', 'subgroup_hash': 4293763413942745332, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dgt', 'subgroup_hash': 6926629425516097259, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dff', 'subgroup_hash': 6084013020118845533, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dff', 'subgroup_hash': 6084013020118845533, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dgv', 'subgroup_hash': 4293763413942745332, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dfo', 'subgroup_hash': 6683505646917164164, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dff', 'subgroup_hash': 6084013020118845533, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.20.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dgv', 'subgroup_hash': 4293763413942745332, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '640.21537', 'subgroup_hash': 21537, 'subgroup_order': 640, 'subgroup_tex': 'C_2^5:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '640.21536', 'subgroup_hash': 21536, 'subgroup_order': 640, 'subgroup_tex': 'C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '640.21536', 'subgroup_hash': 21536, 'subgroup_order': 640, 'subgroup_tex': 'C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 512, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': 1718285292446712970, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
  • id: 63754419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': 7732560176368714472, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': 7974058634065761244, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400620', 'subgroup_hash': 7662451802487622686, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400651', 'subgroup_hash': 5307886630193588898, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': 3125506132805369925, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': 6426235017196720405, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400584', 'subgroup_hash': 7725599176428082333, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.289630', 'subgroup_hash': 8121856639197875931, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.289632', 'subgroup_hash': 8757081470617507966, 'subgroup_order': 512, 'subgroup_tex': '(C_2^3\\times D_4).C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63754597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.35219', 'subgroup_hash': 4816480718992945892, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.35211', 'subgroup_hash': 8024334273587394040, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.35213', 'subgroup_hash': 1311803374395258650, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.uB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': 7732560176368714472, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.uC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': 7732560176368714472, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.vB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': 7974058634065761244, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.vC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': 7974058634065761244, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': 7732560176368714472, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 63754741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': 1445591272787301071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.387438', 'subgroup_hash': 7974058634065761244, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': 1445591272787301071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': 1445591272787301071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400620', 'subgroup_hash': 7662451802487622686, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56723', 'subgroup_hash': 3125506132805369925, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400651', 'subgroup_hash': 5307886630193588898, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63753945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56747', 'subgroup_hash': 6426235017196720405, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63753948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': 3030424736949194728, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6359062', 'subgroup_hash': 505390944434856071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63753957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': 966226259042291139, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63753969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': 966226259042291139, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63753970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.dfB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.dfC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': 966226259042291139, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63753978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.42709', 'subgroup_hash': 1325981920940361497, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63753979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63753993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63753998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63753999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.42709', 'subgroup_hash': 1325981920940361497, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.56957', 'subgroup_hash': 966226259042291139, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.efB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.efC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.40.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63754025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1637', 'subgroup_hash': 1637, 'subgroup_order': 320, 'subgroup_tex': 'C_2^5:C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 63754026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1636', 'subgroup_hash': 1636, 'subgroup_order': 320, 'subgroup_tex': 'C_2\\wr D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1636', 'subgroup_hash': 1636, 'subgroup_order': 320, 'subgroup_tex': 'C_2\\wr D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1636', 'subgroup_hash': 1636, 'subgroup_order': 320, 'subgroup_tex': 'C_2\\wr D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1636', 'subgroup_hash': 1636, 'subgroup_order': 320, 'subgroup_tex': 'C_2\\wr D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1636', 'subgroup_hash': 1636, 'subgroup_order': 320, 'subgroup_tex': 'C_2\\wr D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1635', 'subgroup_hash': 1635, 'subgroup_order': 320, 'subgroup_tex': 'C_2^4:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.64.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1635', 'subgroup_hash': 1635, 'subgroup_order': 320, 'subgroup_tex': 'C_2^4:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13576', 'subgroup_hash': 13576, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.10342', 'subgroup_hash': 10342, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.10342', 'subgroup_hash': 10342, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qE', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3979', 'subgroup_hash': 3979, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3981', 'subgroup_hash': 3981, 'subgroup_order': 256, 'subgroup_tex': '(C_2^2\\times C_8):D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3960', 'subgroup_hash': 3960, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3961', 'subgroup_hash': 3961, 'subgroup_order': 256, 'subgroup_tex': '(C_2\\times \\OD_{16}):D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': 53380, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': 16453, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13576', 'subgroup_hash': 13576, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.10342', 'subgroup_hash': 10342, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13580', 'subgroup_hash': 13580, 'subgroup_order': 256, 'subgroup_tex': '(C_2^2\\times \\OD_{16}):C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': 26332, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': 26332, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13697', 'subgroup_hash': 13697, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13699', 'subgroup_hash': 13699, 'subgroup_order': 256, 'subgroup_tex': '(C_2^2\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ctB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ctC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ctD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cuB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cuC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cuD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cvB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cvC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cvD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.cvE', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754143
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5677', 'subgroup_hash': 5677, 'subgroup_order': 256, 'subgroup_tex': '(C_2^4\\times C_4):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.djB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5678', 'subgroup_hash': 5678, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.djC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5679', 'subgroup_hash': 5679, 'subgroup_order': 256, 'subgroup_tex': '(D_4\\times C_2^3):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': 55706, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': 1087, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.dnB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5678', 'subgroup_hash': 5678, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.dnC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5679', 'subgroup_hash': 5679, 'subgroup_order': 256, 'subgroup_tex': '(D_4\\times C_2^3):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': 53380, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': 16453, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': 55706, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': 1087, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.eqB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.eqC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.erB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.erC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.esB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.esC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.faB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.faC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.fcB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.fcC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.fdB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.fdC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754207
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754209
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754210
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754211
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': 53380, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16429', 'subgroup_hash': 16429, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': 13945, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16453', 'subgroup_hash': 16453, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': 55706, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1087', 'subgroup_hash': 1087, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gcB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gcC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.giB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.giC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gjB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gjC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754249
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4411', 'subgroup_hash': 4411, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gzB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.gzC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754266
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': 55751, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55754', 'subgroup_hash': 55754, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13969', 'subgroup_hash': 13969, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13674', 'subgroup_hash': 13674, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, '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: 63754277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5677', 'subgroup_hash': 5677, 'subgroup_order': 256, 'subgroup_tex': '(C_2^4\\times C_4):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.hqB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.hqC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.hrB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.hrC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ieB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ieC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ieD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ieE', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ifB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ifC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ifD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ifE', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.igB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.igC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ihB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ihC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.iiB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.iiC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ijB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ijC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ikB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ikC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ilB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ilC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.imB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.imC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.inB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.inC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.jnB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.jnC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.joB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.joC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754361
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754362
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754364
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754365
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.kpB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.kpC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.kqB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.kqC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5713', 'subgroup_hash': 5713, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754405
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754406
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754407
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ly1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.lz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ma1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.md1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.me1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': 326, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': 337, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ml1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mnB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mnC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mnD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.moB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.moC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mpB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mpC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mqB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mqC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ms1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5713', 'subgroup_hash': 5713, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5713', 'subgroup_hash': 5713, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.my1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.mz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.na1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ne1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ng1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ni1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nmB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nmC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nmD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nmE', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nnB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nnC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nnD', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.no1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.np1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ns1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ny1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nzB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.nzC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ob1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': 5693, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': 5693, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.od1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.of1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.og1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ohB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ohC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oiB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oiC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ok1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ol1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.om1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.on1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.op1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.or1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.os1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ot1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ou1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.326', 'subgroup_hash': 326, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63754527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ov1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.337', 'subgroup_hash': 337, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ow1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ox1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.oz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': 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: 63754540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ph1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.304', 'subgroup_hash': 304, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.298', 'subgroup_hash': 298, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.299', 'subgroup_hash': 299, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.po1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ps1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.puB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.puC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pvB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pvC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.px1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.py1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.pz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qaB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qaC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qbB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qbC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qcB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qcC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qdB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qdC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qeB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qeC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qfB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qfC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qgB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qgC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qhB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qhC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ql1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qsB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qsC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qtB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qtC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qyB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qyC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qzB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.qzC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ra1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.re1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ri1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rkB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rkC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rnB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rnC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ro1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ru1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5713', 'subgroup_hash': 5713, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 63754632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.US', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rvB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rvC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ry1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rzB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.rzC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.se1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.si1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 63754649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.so1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.srB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.srC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ssB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ssC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.stB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.stC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.suB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.suC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.VZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.sz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ta1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.td1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.te1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': 5675, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.th1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ti1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4487', 'subgroup_hash': 4487, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63754682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 63754684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.to1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ts1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.WZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ty1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.tz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ua1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.ub1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63754703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.80.XF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.uc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 63754704
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.235', 'subgroup_hash': 235, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.235', 'subgroup_hash': 235, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.235', 'subgroup_hash': 235, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754709
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.235', 'subgroup_hash': 235, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754710
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.235', 'subgroup_hash': 235, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.234', 'subgroup_hash': 234, 'subgroup_order': 160, 'subgroup_tex': 'C_2^4:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.234', 'subgroup_hash': 234, 'subgroup_order': 160, 'subgroup_tex': 'C_2^4:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.234', 'subgroup_hash': 234, 'subgroup_order': 160, 'subgroup_tex': 'C_2^4:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.234', 'subgroup_hash': 234, 'subgroup_order': 160, 'subgroup_tex': 'C_2^4:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.128.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.234', 'subgroup_hash': 234, 'subgroup_order': 160, 'subgroup_tex': 'C_2^4:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 63754716
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.320.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '320.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1635', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1635, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:F_5', '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: 63754717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.640.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '640.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '640.21536', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21536, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 640, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\wr F_5', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'S'], '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: 63754718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '20480.e.1280.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1280.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1280.1116373', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1116373, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6:F_5', 'simple': False, 'solvable': True, 'special_labels': ['C6'], '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: 63754720
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '20480.e.4096.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4096.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 63754721
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': True, 'central_factor': False, 'centralizer_order': 20480, 'characteristic': True, 'core_order': 2, 'counter': 811, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '20480.e.10240.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '10240.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10240.l', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8329387163847495706, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 10240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.(C_2\\times F_5)', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0'], '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: 63754722
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '20480.e', 'ambient_counter': 5, 'ambient_order': 20480, 'ambient_tex': 'C_2^9.(C_2\\times F_5)', 'central': True, 'central_factor': False, 'centralizer_order': 20480, 'characteristic': True, 'core_order': 1, 'counter': 812, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '20480.e.20480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20480.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '20480.e', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5706427954891769889, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^9.(C_2\\times F_5)', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D3', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 63754280
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 1307714284921, 1405899965983569841, 7, 5046, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.hn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753948
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1406255647184645041, 5041, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.40.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ci1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CK', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754242
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.giB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HF', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754243
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 367927, 1284256173249105841, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.giC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753945
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39916801, 6046686277268999, 121645100449111681, 355693655121846, 6266937607, 4884687184205393, 1307714284921, 1407396522610690151], 'label': '20480.e.40.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '40.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CH', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754244
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gjB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HH', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63753946
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1405901273697854641, 1307714284921], 'label': '20480.e.40.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.cg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754245
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [367927, 39921840, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 1406255647184645041], 'label': '20480.e.80.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gjC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HI', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754246
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HJ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754247
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [378115351141651192, 121645100449111681, 121, 40284840, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HK', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753947
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 1284256173249105841, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.40.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.ch1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754248
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [121645100449111681, 121, 378115344914267512, 40284840, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HL', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754249
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HM', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 63753930
    {'ambient': '20480.e', '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': [4884687224485199, 39921840, 362881, 1307714284921, 7, 2306727901744760880, 5046, 514057631208739176, 363000, 355693655121846, 6266937607, 6401066031354839, 121645100449111681], 'label': '20480.e.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': '10240.l', '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: 63753931
    {'ambient': '20480.e', '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': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 514057631208739176], 'label': '20480.e.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': '10240.l', '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': '10240.l'}
  • id: 63753932
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.BV', '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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121, 39916801, 40284840, 121645100449111681, 355693655121846, 2306727901744760880, 6266937607, 1307714284921, 1661992097422810318], 'label': '20480.e.40.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.bt1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BV', 'subgroup_fusion': None, 'weyl_group': '256.5693'}
  • id: 63753933
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6401066031354839, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.bu1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BW', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753934
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 6401066031354839, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.bv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BX', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753935
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bw1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BY', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63753936
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.40.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bx1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BZ', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63753937
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [378115344914267512, 362881, 39921840, 363000, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CA', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63753938
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100449111681, 1284256173249105841, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CB', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63753939
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.40.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.ca1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CC', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63753940
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [5041, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.40.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.cb1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CD', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63753941
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 39916801, 1285751422201858145, 355693655121846], 'label': '20480.e.40.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '40.cc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CE', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63753942
    {'ambient': '20480.e', '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': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921, 514057631208739176], 'label': '20480.e.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': '20480.e', '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': '10240.l'}
  • id: 63753943
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39916801, 6046686277268999, 121645100449111681, 355693655121846, 1407396528837711071, 6266937607, 4884687184205393, 1307714284921], 'label': '20480.e.40.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '40.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CF', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63753944
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 39916801, 1285751428428879065, 355693655121846], 'label': '20480.e.40.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '40.ce1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CG', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63753949
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.cj1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CL', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753950
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121, 121645100449111681, 355693655121846, 6266937607, 378115351181562952, 1307714284921], 'label': '20480.e.40.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ck1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CM', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753951
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6402373665806039], 'label': '20480.e.40.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.cl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CN', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753952
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.cm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CO', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753953
    {'ambient': '20480.e', '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': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 2305211535431481721, 1307714284921, 514057631208739176], 'label': '20480.e.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.c1', 'projective_image': '20480.e', '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': '10000.ec'}
  • id: 63753954
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.40.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.cn1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CP', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753955
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [40279687, 39916801, 363000, 121645100449111681, 355693655121846, 1406255653411665840, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.40.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.co1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753956
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1405899965983569841, 6402373705727879, 121645100449111681, 40279687, 363000, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.40.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CR', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753957
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T12991', 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6401066031354839, 1307714652727, 1307714289960, 1406255647184645041, 357001369406767], 'label': '20480.e.40.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.cq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CS', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753958
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CT', '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': '20480.a1', 'coset_action_label': '40T12988', 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 1406256954898929960, 121645100449111681, 6045372376243073, 1307714652727, 1307714289960, 357001369406767], 'label': '20480.e.40.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.cr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CT', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753959
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CU', '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': '20480.a1', 'coset_action_label': '40T12992', 'count': 80, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714289960, 1406255647184645041, 6045372376243073, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.40.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.cs1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753960
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CV', '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': '20480.a1', 'coset_action_label': '40T11360', 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1307714289967, 1307714647681, 1307714647800, 357001369406767], 'label': '20480.e.40.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '40.ct1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753961
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CW', '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': '20480.a1', 'coset_action_label': '40T11364', 'count': 40, 'diagramx': None, 'generators': [7, 1307714289967, 1307714647800, 121645100449111681, 6401066031354839, 1307714647681, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.40.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '40.cu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CW', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753962
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CX', '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': '20480.a1', 'coset_action_label': '40T11336', 'count': 80, 'diagramx': None, 'generators': [5046, 362881, 377760971387918032, 121645100409199921, 121645100449111686, 121645100448748921, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.40.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.cv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CX', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753963
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CY', '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': '20480.a1', 'coset_action_label': '40T11339', 'count': 40, 'diagramx': None, 'generators': [5046, 362881, 121645100449111681, 378116652588998278, 6227025847, 6266937600, 6267300607, 1307714284921, 355687468017841], 'label': '20480.e.40.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.cw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CY', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63753964
    {'ambient': '20480.e', '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': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921, 514057631208739176], 'label': '20480.e.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.d1', 'projective_image': '20480.e', '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': '8000.eh'}
  • id: 63753965
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.CZ', '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': '20480.a1', 'coset_action_label': '40T11378', 'count': 20, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.cx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.CZ', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63753966
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T11373', 'count': 20, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.40.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.cy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DA', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63753967
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T12878', 'count': 40, 'diagramx': None, 'generators': [7, 1284256173249105841, 121645100409199921, 121645100449111800, 121645100449116727, 355693655121846, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.40.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.cz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753968
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DC', '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': '20480.a1', 'coset_action_label': '40T12860', 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 5041, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159, 1407396522610690151], 'label': '20480.e.40.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.da1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DC', 'subgroup_fusion': None, 'weyl_group': '512.41241'}
  • id: 63753969
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DD', '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': '20480.a1', 'coset_action_label': '40T13454', 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 5041, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 1407752210038786271, 6401059803971159], 'label': '20480.e.40.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.db1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DD', 'subgroup_fusion': None, 'weyl_group': '512.41241'}
  • id: 63753970
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DE', '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': '20480.a1', 'coset_action_label': '40T12880', 'count': 20, 'diagramx': None, 'generators': [7, 5046, 121, 1284256173249105841, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.dc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DE', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63753971
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DF', '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': '20480.a1', 'coset_action_label': '40T12876', 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 1405901273698217520, 121, 5046, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.40.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.dd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DF', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63753972
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T13608', 'count': 20, 'diagramx': None, 'generators': [7, 5046, 121, 4884687224485199, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.de1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DG', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63753973
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DH', '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': '20480.a1', 'coset_action_label': '40T13440', 'count': 20, 'diagramx': None, 'generators': [7, 5046, 121, 4528999796026319, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.dfB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DH', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63753974
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T13429', 'count': 20, 'diagramx': None, 'generators': [39921840, 121645100449116727, 355693655121846, 121645100449111800, 121645100449111686, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.40.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '40.dfC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DI', 'subgroup_fusion': None, 'weyl_group': '256.5693'}
  • id: 63753975
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 1286107109590037471, 6401059803971159], 'label': '20480.e.10.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 63753976
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T13593', 'count': 20, 'diagramx': None, 'generators': [39921840, 121645100449116727, 121645100449111800, 121645100449111686, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 127690472785075079], 'label': '20480.e.40.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '40.dg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DJ', 'subgroup_fusion': None, 'weyl_group': '256.304'}
  • id: 63753977
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T12858', 'count': 40, 'diagramx': None, 'generators': [5167, 121645100449116720, 355693655121846, 121645100409199921, 1285751428428516065, 6266937607, 1307714284921, 4528999796026319, 127690472785075079], 'label': '20480.e.40.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '40.dh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DK', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63753978
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T13368', 'count': 40, 'diagramx': None, 'generators': [5167, 121645100449116720, 355693655121846, 121645100409199921, 1407396528797431265, 6266937607, 4884687224485199, 127691780419526279, 1307714284921], 'label': '20480.e.40.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '40.di1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DL', 'subgroup_fusion': None, 'weyl_group': '256.1734'}
  • id: 63753979
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T14167', 'count': 40, 'diagramx': None, 'generators': [355693695033606, 122000794103870646, 1661992097422810318, 122000787837295920, 355693655121841, 122000794103870767, 355693655116800, 1307714284921, 2428374316094535727], 'label': '20480.e.40.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '40.dj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DM', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63753980
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T14170', 'count': 40, 'diagramx': None, 'generators': [7, 355693655484727, 122000794064311687, 1661992097422810318, 122000787837295920, 121645100449116727, 355693655484846, 1307714284921, 2428374316094535727], 'label': '20480.e.40.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '40.dk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DN', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63753981
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T14163', 'count': 40, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 121645100449111686, 355693655116800, 126528479958586199, 357001369406767, 6402373665806158], 'label': '20480.e.40.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '40.dl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DO', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63753982
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '20480.a1', 'coset_action_label': '40T14175', 'count': 40, 'diagramx': None, 'generators': [355693655484727, 4884687224485199, 121645100449111686, 355693655116800, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840], 'label': '20480.e.40.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '40.dm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DP', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63753983
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DQ', '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': '20480.a1', 'coset_action_label': '40T14049', 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.40.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.dn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DQ', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63753984
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DR', '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': '20480.a1', 'coset_action_label': '40T14050', 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 355693655121846, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.40.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.do1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DR', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63753985
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DS', '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': '20480.a1', 'coset_action_label': '40T11391', 'count': 40, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6401066031354839, 355693655121846, 6266937607, 1307714284921, 126528479958586199], 'label': '20480.e.40.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.dp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DS', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63753986
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 1407752210038786271, 6401059803971159], 'label': '20480.e.10.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 63753987
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DT', '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': '20480.a1', 'coset_action_label': '40T11390', 'count': 40, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6401066031354839, 355693655121846, 6266937607, 4884687224485199, 1307714284921], 'label': '20480.e.40.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.dq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DT', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63753988
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [126, 39921840, 368046, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1405901273697854641, 1307714284921], 'label': '20480.e.40.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.dr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753989
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DV', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368041, 39921840, 5167, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 6402367438422359, 1307714284921], 'label': '20480.e.40.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ds1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DV', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753990
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DW', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6401066031354839, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.dt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DW', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753991
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DX', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368041, 39921840, 5167, 121645100449111681, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.40.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.du1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DX', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753992
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DY', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 6401066031354839, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.dv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DY', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63753993
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.DZ', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1405899965983569841, 7, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.40.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.dw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.DZ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753994
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EA', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 362881, 39921840, 368046, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.dx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EA', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753995
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 40284840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.40.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.dy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EB', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753996
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EC', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [40279687, 1307714284921, 6402373705727879, 5041, 363000, 355693655121846, 6266937607, 1406255653411665840, 121645100449111681], 'label': '20480.e.40.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.dz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63753997
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10.C', '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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 6401059803971159, 1407752210038786271], 'label': '20480.e.10.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 63753998
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363007, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ea1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.ED', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63753999
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.40.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.eb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EE', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754000
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.40.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ec1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EF', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754001
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 1286107115856974945, 4884687224485199, 5167, 6045378562984199, 5041, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.40.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '40.ed1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EG', 'subgroup_fusion': None, 'weyl_group': '256.1734'}
  • id: 63754002
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EH', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 5041, 6046686277268999, 121645100449111681, 355693655121846, 6266937607, 4884687184205393, 1307714284921, 1407752210038786271], 'label': '20480.e.40.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '40.ee1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EH', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754003
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EI', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 6402367438422359, 39921840, 1307714284921, 5167, 7, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.40.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.efB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EI', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754004
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EJ', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 39921961, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.40.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.efC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754005
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EK', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 5167, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1284611854450181041, 1307714284921], 'label': '20480.e.40.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.eg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EK', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754006
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EL', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 39921840, 1307714284921, 1405899965983569841, 5167, 7, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.40.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.eh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EL', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754007
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EM', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 1661992097422810318, 121, 5041, 40284840, 6266937607, 1307714284921, 2306727907971781681, 355693655121846], 'label': '20480.e.40.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '40.ei1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EM', 'subgroup_fusion': None, 'weyl_group': '256.304'}
  • id: 63754008
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10.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': '20.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 6401066031354839, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.10.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.D', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754009
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EN', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121, 40284840, 5041, 121645100449111681, 355693655121846, 1540348304688346318, 2306727901744760880, 6266937607, 1307714284921], 'label': '20480.e.40.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '40.ej1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EN', 'subgroup_fusion': None, 'weyl_group': '256.298'}
  • id: 63754010
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EO', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 5167, 121645100449111681, 355693655121846, 6401066031354839, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ek1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EO', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754011
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EP', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 1284256173249105841, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.40.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.el1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EP', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754012
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EQ', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 1284256173249105841, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.40.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.em1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EQ', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754013
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.ER', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.40.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.en1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.ER', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754014
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.ES', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 6401059803971159], 'label': '20480.e.40.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.eo1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.ES', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754015
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.ET', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.40.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.ep1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.ET', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754016
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EU', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 6401066031354839, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.eq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EU', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754017
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EV', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921, 1406255647184645041], 'label': '20480.e.40.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.er1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EV', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754018
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EW', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6402373665806039, 1406255647184645041], 'label': '20480.e.40.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.es1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EW', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754019
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10.E', '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': '40.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 4884687224485199, 1307714284921], 'label': '20480.e.10.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.E', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63754020
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EX', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 6401066031354839, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.et1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EX', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754021
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.EY', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1405899965983569841, 6402373665806039, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.40.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.eu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EY', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754022
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '80.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.40.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '40.ev1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.EZ', 'subgroup_fusion': None, 'weyl_group': '320.1636'}
  • id: 63754023
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.FA', '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': '80.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.ew1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.FA', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754024
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '80.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.40.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.ex1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.FB', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754025
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [121645100449111681, 2305211535431481721, 514058938883464896, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': '320.1635'}
  • id: 63754026
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 514058938843190376, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '64.b1', 'projective_image': '10240.l', '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': '320.1635'}
  • id: 63754027
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [121645100449111681, 514057637436122856, 378115344954179272, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '64.c1', 'projective_image': '10240.l', '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': '320.1635'}
  • id: 63754028
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [121645100448748800, 5046, 121646408083200000, 513701943740721337, 128046160212803153, 122002101738684841, 39921840], 'label': '20480.e.64.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '64.d1', 'projective_image': '10240.l', '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': '320.1635'}
  • id: 63754029
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [256471558406824192, 1307714647800, 122002101778596606, 121646414350505641, 122000794103870767, 121646414350500600, 635704039292301936], 'label': '20480.e.64.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.E', 'old_label': '64.e1', 'projective_image': '10240.l', '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': '160.234'}
  • id: 63754030
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 514057631208739176], 'label': '20480.e.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '20480.e', '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': '10240.l'}
  • id: 63754031
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 2305211535431481721, 514058938883464896, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.64.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '64.f1', 'projective_image': '20480.e', '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': '160.234'}
  • id: 63754032
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 514057631208739176, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.64.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.B', 'old_label': '64.g1', 'projective_image': '20480.e', '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': '320.1635'}
  • id: 63754033
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [121645100448748800, 5046, 121646408083200000, 126528479958586199, 128047474114192079, 635348351824284097, 39921840], 'label': '20480.e.64.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '64.h1', 'projective_image': '20480.e', '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': '320.1635'}
  • id: 63754034
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.A', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 63754035
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.B', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 355693655484727, 6401066031354839, 126528479958586199, 6266942641, 6267300607, 357001369406767, 355687428096001], 'label': '20480.e.80.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.V', 'old_label': '80.b1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.B', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754036
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.C', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6046686277631999, 355693655484727, 122000794104233520, 6266942641, 6267300607, 4884687224485199, 355687428096001, 357001369406767], 'label': '20480.e.80.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.W', 'old_label': '80.c1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.C', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754037
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.D', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 122000787836933041, 39921840, 127691786646184318, 121645100449111686, 121645106635852926, 126528479958586199, 357001369406767], 'label': '20480.e.80.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.U', 'old_label': '80.d1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.D', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754038
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.E', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [128046166399907158, 5046, 4884687224485199, 121645106635852926, 121645100449111686, 357001369406767, 39921840, 122000787836933041], 'label': '20480.e.80.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.X', 'old_label': '80.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.E', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754039
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.F', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693695033606, 126528479958586199, 1313901388926, 121645100449111800, 357001369406767, 127690472785075079, 122000794104228481], 'label': '20480.e.80.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.D', 'old_label': '80.f1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.F', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754040
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.G', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693695033606, 121645100449116727, 6402367438422478, 355693655121841, 4528999796026319, 1313901388926, 357001369406767, 122000794104233646], 'label': '20480.e.80.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.H', 'old_label': '80.g1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.G', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754041
    {'ambient': '20480.e', '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': [39921840, 362881, 1307714284921, 2305211535431481721, 7, 5046, 514057631208739176, 363000, 355693655121846, 6266937607, 6401066031354839, 121645100449111681], 'label': '20480.e.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': '10240.l', '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': '10240.l'}
  • id: 63754042
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [2306729215645781760, 121645100449111681, 4884687224485199, 514057631208739176, 6045378562984199, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '16.b1', 'projective_image': '10240.l', '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': '640.21536'}
  • id: 63754043
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693695033606, 6401066031354839, 121645100449116727, 355693655121841, 121645100448748921, 6266937607, 357001369406767, 362881], 'label': '20480.e.80.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.h1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.H', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754044
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 126528479958586199, 355693655121967, 121645100449111686, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.i1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.I', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754045
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 355693655121967, 121645100449111686, 4528999796026319, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.j1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.J', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754046
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 355693655121967, 6402367438422478, 126172792530853079, 121645100449111686, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.k1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.K', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754047
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 4884687224485199, 355693655121967, 6402367438422478, 121645100449111686, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.l1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.L', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754048
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362881, 355693655116800, 355693655484846, 122000794104233520, 122000794064311687, 378115351141651192, 121646408083563000, 355687468017841], 'label': '20480.e.80.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.m1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.M', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754049
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 121645100448748800, 121645100449116727, 363000, 127690479011732999, 6266937607, 357001369406767, 39921840], 'label': '20480.e.80.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.n1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.N', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754050
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116727, 121645100409199921, 121645100448748921, 355693655121841, 122000794103870646, 378115351141651192, 121646408083563000, 355687468017841], 'label': '20480.e.80.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.o1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.O', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754051
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256115864751702358, 7, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.pB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.P', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754052
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [377760971387918032, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.pC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.Q', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754053
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '20.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.20.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.A', 'subgroup_fusion': None, 'weyl_group': '640.21536'}
  • id: 63754054
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [378115351141651192, 122000794104233520, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.pD', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.R', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754055
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115351141651192, 7, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.S', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754056
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [377760971387918032, 7, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.T', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754057
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256470244505435518, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qD', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.U', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754058
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.V', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256470244505435518, 122000794104233520, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qE', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.V', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754059
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256470244505435518, 7, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.rB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.W', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754060
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [378115351141651192, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.rC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.X', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754061
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [377760971387918032, 122000794104233520, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.rD', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.Y', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754062
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 355693655116921, 121645100449116720, 126528479958586199, 1285750114487568311, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.P', 'old_label': '80.s1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.Z', 'subgroup_fusion': None, 'weyl_group': '64.215'}
  • id: 63754063
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355693655116921, 121645100449116720, 1407752216225527385, 6401059803971278, 4884687224485199, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Q', 'old_label': '80.t1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BA', 'subgroup_fusion': None, 'weyl_group': '64.215'}
  • id: 63754064
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.B', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111686, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 1286107109590037471, 6401059803971159], 'label': '20480.e.20.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '20.b1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.B', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754065
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1313901388926, 355693655116921, 355693695033606, 122000794104228486, 1286107109590037471, 126528479958586199, 357001369406767, 6401059803971278], 'label': '20480.e.80.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.P', 'old_label': '80.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BB', 'subgroup_fusion': None, 'weyl_group': '128.1040'}
  • id: 63754066
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 355693655116921, 355693695033606, 4884687224485199, 122000794104228486, 1407395221123058225, 1313901388926, 357001369406767], 'label': '20480.e.80.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Q', 'old_label': '80.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BC', 'subgroup_fusion': None, 'weyl_group': '128.1040'}
  • id: 63754067
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 121645100449111686, 5167, 1405901273698217520, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.w1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BD', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754068
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BE', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 5167, 1284256173249105841, 355693655121846, 121645100449111686, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754069
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BF', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 5167, 1284256173249105841, 121645100449111686, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.y1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754070
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 1405901273698217520, 5167, 121645100449111686, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.z1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754071
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1284611854450181041, 39921961, 121645100449111686, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ba1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754072
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1406256954899292720, 39921961, 121645100449111686, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bb1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754073
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 5167, 121645100449111686, 355693655121846, 6266937607, 1406256954899292720, 1307714284921, 127690472785075079], 'label': '20480.e.80.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754074
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921961, 5167, 121645100449111686, 355693655121846, 6266937607, 1284611854450181041, 1307714284921, 127690472785075079], 'label': '20480.e.80.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754075
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.C', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 121645100449116727, 121645100449111800, 355693655121846, 6266937607, 1307714284921, 1286107109590037471, 126528479958586199, 127690472785075079], 'label': '20480.e.20.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '20.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.C', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754076
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 6401066031354839, 121645100448753967, 121645100449116720, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CL', 'old_label': '80.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BL', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754077
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 121, 6267300600, 6266942641, 6227388847, 378116652628910038, 1307714284921], 'label': '20480.e.80.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CM', 'old_label': '80.bf1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BM', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754078
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BN', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 362881, 1405899965983569841, 1307714284926, 5046, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.bg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BN', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754079
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 121, 121645100449111686, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.bh1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BO', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754080
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BP', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 363000, 378116658815656198, 1307714284921, 6266942646, 39921840, 362881], 'label': '20480.e.80.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.bi1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BP', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754081
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BQ', '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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111686, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BQ', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754082
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BR', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111686, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.bk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BR', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754083
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.80.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.bl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BS', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754084
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 5041, 1405901273698217520, 121645100409199921, 355693655121846, 6266937607, 6402367438422359, 1307714284921], 'label': '20480.e.80.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.bm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BT', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754085
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 5041, 1284256173249105841, 355693655121846, 121645100409199921, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bn1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754086
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.D', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121645100448748800, 355693655121846, 121645100449111686, 121645100448748921, 127690479011732999, 6266937607, 1307714284921, 126528479958586199], 'label': '20480.e.20.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '20.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.D', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754087
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 127691780419526279, 5167, 5041, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.80.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bo1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BV', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754088
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.BW', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 126528479958586199, 5167, 5041, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.80.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.bp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BW', 'subgroup_fusion': None, 'weyl_group': '128.1615'}
  • id: 63754089
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 5041, 121645100409199921, 355693655121846, 6266937607, 1406256954899292720, 1307714284921, 127690472785075079], 'label': '20480.e.80.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.bq1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BX', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754090
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 5041, 121645100409199921, 355693655121846, 6266937607, 1284611854450181041, 1307714284921, 127690472785075079], 'label': '20480.e.80.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.br1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BY', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754091
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 5041, 121645100409199921, 355693655121846, 6266937607, 126172792530853079, 1307714284921, 127690472785075079], 'label': '20480.e.80.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '80.bs1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.BZ', 'subgroup_fusion': None, 'weyl_group': '128.853'}
  • id: 63754092
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1307714647800, 39921840, 1405899965983569841, 7, 355693655121846, 6266937607, 1307714289967, 121645100449111681], 'label': '20480.e.80.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bt1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CA', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754093
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449116727, 355693655121846, 121645100409199921, 121645100449111800, 121645100449111686, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.bu1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CB', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754094
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 6227025847, 6267300607, 5041, 378116658815656198, 1307714284921, 362881], 'label': '20480.e.80.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.bv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CC', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754095
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 378115344914267512, 6227025847, 6267300607, 5041, 1307714284921, 362881], 'label': '20480.e.80.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.bw1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CD', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754096
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [378115351141651192, 355687468017841, 121645100449111681, 6227025847, 6267300607, 5041, 1307714284921, 362881], 'label': '20480.e.80.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CE', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754097
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.E', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121645100448748800, 355693655121846, 121645100449111686, 121645100448748921, 127690479011732999, 6266937607, 4884687224485199, 1307714284921], 'label': '20480.e.20.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '20.e1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.E', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754098
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1284256173249105841, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.by1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CF', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754099
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [127691780419526279, 121645100449116720, 1284256173249105841, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.bz1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CG', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754100
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 1284256173249105841, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.ca1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CH', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754101
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1406256954899292720, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CI', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754102
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CJ', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 126528479958586199, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.cc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CJ', 'subgroup_fusion': None, 'weyl_group': '256.14764'}
  • id: 63754103
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CK', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121, 1540346990786957392, 40284840, 121645100449111681, 6227020806, 2428373002153230007, 1307714284921, 355687468017841], 'label': '20480.e.80.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.cd1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CK', 'subgroup_fusion': None, 'weyl_group': '256.14764'}
  • id: 63754104
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CL', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 6266937607, 1284611854450181041, 1307714284921, 127690472785075079], 'label': '20480.e.80.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CL', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754105
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1284611854450181041, 127691780419526279, 121645100449116720, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.cf1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CM', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754106
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CN', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.80.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.N', 'old_label': '80.cg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CN', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754107
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100409194880, 126528479958586199, 5167, 6045378562984199, 6266937607, 1307714284921, 1285751422201858145, 355693655121846], 'label': '20480.e.80.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.ch1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CO', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754108
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1286107109590037471, 4884687224485199, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.20.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '20.f1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.F', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754109
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100409194880, 1407396528837348071, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.ci1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CP', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754110
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100409194880, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 1285751422201858145, 355693655121846], 'label': '20480.e.80.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CQ', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754111
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1407396522610327391, 121645100409194880, 126528479958586199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CR', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754112
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100409194880, 126528479958586199, 5167, 6045378562984199, 6266937607, 1307714284921, 1285751428428879065, 355693655121846], 'label': '20480.e.80.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.cl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CS', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754113
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1407396522610327391, 121645100409194880, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.cm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CT', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754114
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 6267300486, 6045378563347078, 126528479958586199, 6266942641, 355693655484846, 357001369406767, 355687428096001], 'label': '20480.e.80.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.V', 'old_label': '80.cn1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CU', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754115
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CV', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 6267300486, 4884687224485199, 6266942641, 355693655484846, 6402373665806158, 357001369406767, 355687428096001], 'label': '20480.e.80.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.W', 'old_label': '80.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CV', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754116
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CW', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 5046, 126528479958586199, 128047474114192079, 121645100449111686, 122000794103870767, 357001369406767, 39921840], 'label': '20480.e.80.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.U', 'old_label': '80.cp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CW', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754117
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 5046, 4884687224485199, 121645100449111686, 122000794103870767, 127690479011732999, 357001369406767, 39921840], 'label': '20480.e.80.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.X', 'old_label': '80.cq1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CX', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754118
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CY', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 5046, 355693695033606, 6401066031354839, 355693655484846, 6266937607, 357001369406767, 362881], 'label': '20480.e.80.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.cr1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CY', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754119
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159, 1407396522610690151], 'label': '20480.e.20.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '20.g1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.G', 'subgroup_fusion': None, 'weyl_group': '512.41241'}
  • id: 63754120
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.CZ', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 5046, 121645100449111686, 122000794103870767, 127690479011732999, 6266937607, 357001369406767, 39921840], 'label': '20480.e.80.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.cs1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.CZ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754121
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449116727, 122000794103870767, 1313901388926, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ctB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DA', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754122
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 355693655116800, 122000794104233520, 357001369406767, 6402373665806158], 'label': '20480.e.80.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ctC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DB', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754123
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DC', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 121645100449111686, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ctD', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DC', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754124
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DD', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 6401066031354839, 121645100449116727, 122000794103870767, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.cuB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DD', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754125
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DE', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 6401066031354839, 355693655116800, 122000794104233520, 357001369406767], 'label': '20480.e.80.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.cuC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DE', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754126
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DF', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 6401066031354839, 121645100449111686, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cuD', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DF', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754127
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 127691786646184318, 121645100449111686, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cvB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754128
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 121645100449111686, 1313901388926, 127690479011732999, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cvC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754129
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 127691786646184318, 121645100449116727, 122000794103870767, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cvD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DI', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754130
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1285751422161941351, 4884687224485199, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.20.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '20.h1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.H', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754131
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691786646184318, 362881, 39921840, 363000, 1313901388926, 355693655116800, 122000794104233520, 357001369406767], 'label': '20480.e.80.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cvE', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754132
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693655484727, 121645100409199921, 355693655116800, 121645100449111686, 121645100448748921, 256470244505435518, 121646408083563000, 355687468017841], 'label': '20480.e.80.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.cw1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DK', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754133
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693655484846, 121646408083563000, 122000794064311687, 7, 121645100449116727, 256470244505435518, 121645100448748800, 355687468017841], 'label': '20480.e.80.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.cx1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DL', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754134
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449116720, 39921840, 368046, 362881, 1307714284921, 355693655121846, 6266937607, 6401066031354839], 'label': '20480.e.80.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cy1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DM', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754135
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449116720, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.cz1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754136
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 39921840, 362881, 121645100449116720, 355693655121846, 6266937607, 1307714284921, 127691786646184199], 'label': '20480.e.80.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.da1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754137
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 40284840, 121645100449111681, 6267300600, 6266937726, 378115351181562952, 1307714284921, 355687468017841], 'label': '20480.e.80.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.db1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754138
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [355687468017841, 5046, 121645100449111681, 6267300600, 6266937726, 378116652628910038, 40284840, 1307714284921], 'label': '20480.e.80.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.dc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754139
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355687468017841, 5046, 121645100449111681, 6267300600, 6266937726, 378116652588998278, 40284840, 1307714284921], 'label': '20480.e.80.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.dd1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754140
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714289967], 'label': '20480.e.80.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.de1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DS', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754141
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 1407752210038786271, 6401059803971159], 'label': '20480.e.20.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '20.i1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.I', 'subgroup_fusion': None, 'weyl_group': '512.41241'}
  • id: 63754142
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714284926], 'label': '20480.e.80.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.df1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DT', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 63754143
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714289967, 1307714647800], 'label': '20480.e.80.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.dg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DU', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754144
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 4884687224485199, 1407395221123058225, 5167, 5041, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.I', 'old_label': '80.dh1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DV', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754145
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 1407752216225527385, 4884687224485199, 5167, 5041, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.I', 'old_label': '80.di1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DW', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754146
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 122000794064311687, 126528479958586199, 1285750114487568311, 5167, 1313901388926, 355693655116807, 357001369406767], 'label': '20480.e.80.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.I', 'old_label': '80.djB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DX', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754147
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 122000794064311687, 1286107109590037471, 126528479958586199, 5167, 1313901388926, 355693655116807, 357001369406767], 'label': '20480.e.80.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.I', 'old_label': '80.djC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DY', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754148
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449116846, 121645100449116720, 1284256173249105841, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.dk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.DZ', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754149
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 121645100449116846, 355693655121846, 121645100449116720, 127690479011732999, 6266937607, 1284611854450181041, 1307714284921], 'label': '20480.e.80.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BX', 'old_label': '80.dl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EA', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754150
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1405899965983569841, 7, 355693655121846, 6266937607, 1307714289967, 121645100449111681], 'label': '20480.e.80.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BY', 'old_label': '80.dm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EB', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754151
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100409194880, 121645100449116846, 1407396528837348071, 4884687224485199, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CE', 'old_label': '80.dnB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EC', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754152
    {'ambient': '20480.e', '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': 2, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4884687224485199, 39921840, 362881, 1307714284921, 7, 5046, 514057631208739176, 363000, 355693655121846, 6266937607, 6401066031354839, 121645100449111681], 'label': '20480.e.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': '10240.l', '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': '10240.l'}
  • id: 63754153
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 1284256173249105841, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.20.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.j1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.J', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754154
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100409194880, 121645100449116846, 1407396528837348071, 126528479958586199, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CE', 'old_label': '80.dnC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ED', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754155
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 121645100448748800, 355693695033606, 121645100449111686, 355693655116800, 355693655484846, 357001369406767, 121646414350500607], 'label': '20480.e.80.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EE', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754156
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362881, 121645100409199921, 121646414350500607, 122000794104233520, 122000794104228481, 122000794103870767, 378115351141651192, 357001369406767], 'label': '20480.e.80.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.dp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EF', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754157
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [127691786646184318, 362881, 39921840, 121645100449116727, 355693655484846, 121645100449111686, 121646414350500607, 355687468017841], 'label': '20480.e.80.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EG', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754158
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EH', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355687468017841, 122000794103870646, 6401066031354839, 121645100449116727, 121645100448748921, 121645100409199921, 121646414350500607], 'label': '20480.e.80.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EH', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754159
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EI', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693695033606, 355693655484846, 121646414350500607, 256115864751702358, 122000794104228481, 122000794103870646, 357001369406767], 'label': '20480.e.80.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.ds1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EI', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754160
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EJ', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 355693655484727, 355693655121841, 122000794103870767, 355693655116800, 357001369406767, 121645100409199921, 121646414350500607], 'label': '20480.e.80.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.dt1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EJ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754161
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EK', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 355687468017841, 122000794103870646, 6401066031354839, 122000794103870767, 355693655116800, 121645100409199921, 121646414350500607], 'label': '20480.e.80.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.du1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EK', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754162
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EL', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [127691786646184318, 362881, 39921840, 363000, 355693655121841, 355693655116800, 121646414350500607, 355687468017841], 'label': '20480.e.80.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.dv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EL', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754163
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EM', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1313901388926, 121645100449111681, 6401066031354839, 1405899965983569960, 357001369406767], 'label': '20480.e.80.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.dw1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754164
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 1284256173249105841, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.20.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.k1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.K', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754165
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EN', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1405901273697854641, 1313901388926, 363007, 357001369406767, 368046, 39921840], 'label': '20480.e.80.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754166
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EO', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1313901388926, 121645100449111681, 6045372376243073, 1405901273697854641, 357001369406767], 'label': '20480.e.80.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754167
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EP', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1405899965983569960, 6045372376243073, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EP', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754168
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EQ', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1313901388926, 121645100449111681, 6401066031354839, 1284254865614654760, 357001369406767], 'label': '20480.e.80.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ea1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754169
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ER', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1284256173249105841, 1313901388926, 363007, 357001369406767, 368046, 39921840], 'label': '20480.e.80.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.eb1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ER', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754170
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ES', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1313901388926, 121645100449111681, 1284256173249105841, 6045372376243073, 357001369406767], 'label': '20480.e.80.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ec1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ES', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754171
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ET', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 368046, 1313901388926, 121645100449111681, 6045372376243073, 1284254865614654760, 357001369406767], 'label': '20480.e.80.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ed1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ET', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754172
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 1313901388926, 121645100449111681, 1307674373161, 1307714289960, 1406255647184645041, 357001369406767], 'label': '20480.e.80.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CK', 'old_label': '80.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EU', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754173
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100449116720, 1313901388926, 127690479011732999, 357001369406767, 368046, 39921840, 362881], 'label': '20480.e.80.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CL', 'old_label': '80.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EV', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754174
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 1307714289846, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.eg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EW', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754175
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.20.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.l1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.L', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754176
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 1307714289846, 5041, 1313901388926, 6046686237352193, 357001369406767, 39921840], 'label': '20480.e.80.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.eh1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EX', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754177
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.EY', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 1307714289846, 5041, 1313901388926, 6045372376243073, 357001369406767, 39921840], 'label': '20480.e.80.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ei1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EY', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754178
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1405899965983569841, 6402367438422359, 121646408083563000, 121645100449116846, 121645100449116720, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.EZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754179
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FA', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1307714289846, 1406255647184645041, 357001369406767], 'label': '20480.e.80.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ek1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754180
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121646408083563000, 127691780419526279, 121645100449116846, 121645100449116720, 1284254865615017520, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.el1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754181
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 1307714289846, 1307674373161, 1313901388926, 1307714289960, 357001369406767], 'label': '20480.e.80.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.em1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FC', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754182
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 1313901388926, 121645100449116846, 121645100409199921, 1405899965983569841, 121646408083563000, 357001369406767, 6401059803971159], 'label': '20480.e.80.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BU', 'old_label': '80.en1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FD', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754183
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FE', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1406255647184645041, 5041, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.eo1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FE', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754184
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 1313901388926, 121645100449111681, 6401066031354839, 357001369406767], 'label': '20480.e.80.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ep1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FF', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754185
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FG', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 40284840, 121645100449111800, 355693655121846, 121645100448748926, 121645106636215686, 378115351181562952, 1307714284921], 'label': '20480.e.80.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.eqB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FG', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754186
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 6401059803971159], 'label': '20480.e.20.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.m1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.M', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63754187
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121, 122000794104233527, 6266937607, 378115351181562952, 1307714284921], 'label': '20480.e.80.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.eqC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754188
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FI', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645106636215686, 5046, 377760971427839872, 40284840, 1307714284921, 121645100449111800, 121645100448748926, 355693655121846], 'label': '20480.e.80.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.erB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FI', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754189
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121, 377760971427839872, 122000794104233527, 6266937607, 1307714284921], 'label': '20480.e.80.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.erC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754190
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [40284840, 363007, 377760971387918032, 355693655121846, 121645100449111800, 121645100449116727, 121645106636215686, 1307714284921], 'label': '20480.e.80.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.esB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FK', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754191
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FL', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115351141651192, 5046, 122000794104233527, 121, 40284840, 6266937607, 1307714284921, 363007], 'label': '20480.e.80.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.esC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FL', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754192
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 1307714289967, 121645100449111681, 121, 1307674373161, 1313901388926, 6401059803971159, 357001369406767], 'label': '20480.e.80.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BZ', 'old_label': '80.et1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FM', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754193
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 5046, 121645100449111681, 1307714284800, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.eu1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754194
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 5046, 121645100449111681, 1307714284800, 6045378602900993, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ev1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754195
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 121645100449111681, 6401066031354839, 1307714284800, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ew1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754196
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [362881, 1313901388926, 121645100449111681, 1307674373161, 1307714289960, 1307714652727, 1406255647184645041, 357001369406767], 'label': '20480.e.80.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CK', 'old_label': '80.ex1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FQ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754197
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.20.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.n1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.N', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63754198
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115351181562952, 122000794104233527, 121645100408837161, 121645100449116727, 6266937607, 1307714284921, 363007, 121645100449111800], 'label': '20480.e.80.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CM', 'old_label': '80.ey1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FR', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754199
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714652727, 39921840, 362881, 1406255647184645041, 5041, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ez1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FS', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754200
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FT', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5041, 362881, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1307714652727, 357001369406767], 'label': '20480.e.80.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.faB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FT', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754201
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121646408083563000, 121645100449116720, 1313901388926, 127690479011732999, 121645100448753967, 357001369406767, 39921840, 362881], 'label': '20480.e.80.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.faC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754202
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FV', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645106636215686, 377760971427839872, 121645100408837161, 121, 121645100449116727, 1307714284921, 121645100448748926, 355693655121846], 'label': '20480.e.80.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FV', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754203
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.FW', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5041, 362881, 39921840, 1313901388926, 121645100449111681, 6401066031354839, 1307714652727, 357001369406767], 'label': '20480.e.80.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.fcB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FW', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754204
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121646408083563000, 6401066031354839, 121645100449116720, 1313901388926, 121645100448753967, 357001369406767, 39921840, 362881], 'label': '20480.e.80.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.fcC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FX', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754205
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39921840, 368046, 1313901388926, 121645100449111681, 1307714647800, 6402373665806039, 357001369406767], 'label': '20480.e.80.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.fdB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FY', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754206
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449116720, 127691786646184199, 39921840, 368046, 121646408083563000, 121645100448748800, 357001369406767, 1313901388926], 'label': '20480.e.80.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.fdC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.FZ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754207
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100449116727, 121645100449111686, 363000, 6266937607, 39921840, 362881, 355693655121846], 'label': '20480.e.80.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.fe1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GA', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754208
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 121645100449111681, 6401066031354839, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.20.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.O', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754209
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100448748921, 355693655121846, 6266937607, 121646408083563000], 'label': '20480.e.80.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GB', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754210
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100449116727, 121645100448748921, 121645100449111686, 6266937607, 39921840, 362881, 355693655121846], 'label': '20480.e.80.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.fg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GC', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754211
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 363000, 121645100449116727, 121645100409199921, 355693655121846, 6266937607, 121646408083563000], 'label': '20480.e.80.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.fh1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GD', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754212
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 1284254865614654760, 121645100449111681, 5167, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fi1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754213
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fj1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754214
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GG', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1284256173249105841, 5167, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754215
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 5041, 1313901388926, 121645100409199921, 1405899965983569841, 6402367438422359, 121646408083563000, 357001369406767], 'label': '20480.e.80.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754216
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1406256954898929960, 121645100449111681, 6401066031354839, 5167, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754217
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 5167, 1406255647184645041, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fn1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754218
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100409194880, 1406255653411665840, 40279687, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fo1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754219
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1406255647184645041, 5041, 355693655121846, 6266937607, 6401066031354839, 121645100449111681], 'label': '20480.e.20.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.p1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.P', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754220
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100409194880, 40279687, 1284610553043113521, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GL', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754221
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 121645100409194880, 40279687, 1284610553043113521, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fq1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754222
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 121645100409194880, 1406255653411665840, 40279687, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fr1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754223
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100409194880, 1284254865615017520, 40279687, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754224
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 121645100409194880, 40279687, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ft1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GP', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754225
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 6402373705727879, 121645100409194880, 40279687, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fu1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754226
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GR', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 121645100409194880, 1284254865615017520, 40279687, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.fv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GR', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754227
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645106636215686, 121645100449116720, 377760965160534352, 363000, 1307714284921, 39921840, 362881, 355693655121846], 'label': '20480.e.80.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CA', 'old_label': '80.fw1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GS', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754228
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645106636215686, 377760965160534352, 121645100448748921, 5041, 1307714284921, 121645100409199921, 362881, 355693655121846], 'label': '20480.e.80.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.fx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GT', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754229
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645106636215686, 378115344914267512, 121645100448748921, 5041, 1307714284921, 121645100409199921, 362881, 355693655121846], 'label': '20480.e.80.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.fy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754230
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 39921840, 368046, 362881, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6402373665806039, 1406255647184645041], 'label': '20480.e.20.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.q1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.Q', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754231
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [362881, 1307714284921, 378115351141651192, 121645100409199921, 5041, 121645100448748921, 355693655121846, 121645106636215686], 'label': '20480.e.80.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.fz1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754232
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 1307674373161, 1313901388926, 1307714289960, 357001369406767], 'label': '20480.e.80.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.ga1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GW', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754233
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 121645100449116720, 5167, 1313901388926, 127690479011732999, 357001369406767, 39921840], 'label': '20480.e.80.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BW', 'old_label': '80.gb1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GX', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754234
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gcB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GY', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754235
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 367927, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gcC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.GZ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754236
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449111681, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.gd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HA', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754237
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.ge1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HB', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754238
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [378115344914267512, 362881, 39916801, 40284840, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.gf1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HC', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754239
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [121645100449111681, 378115344914630272, 121, 40284840, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HD', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754240
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [121645100449111681, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.gh1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HE', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754241
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 6401066031354839, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.20.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.r1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.R', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754250
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 5167, 6266937607, 1307714284921, 39916801, 1284610546815729841, 355693655121846], 'label': '20480.e.80.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.go1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HN', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754251
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6046686237347159, 5167, 6266937607, 1307714284921, 39916801, 1284610546815729841, 355693655121846], 'label': '20480.e.80.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.gp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HO', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754252
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921, 6402373665806039], 'label': '20480.e.20.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.S', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754253
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 5167, 6266937607, 1307714284921, 1284254859387633840, 39916801, 355693655121846], 'label': '20480.e.80.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.gq1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HP', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754254
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 5167, 1284610553042750640, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.gr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754255
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '80.gs1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HR', 'subgroup_fusion': None, 'weyl_group': '128.1615'}
  • id: 63754256
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 1284254865614654641, 6046686237347159, 5167, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.gt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HS', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754257
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6046686237347159, 5167, 6266937607, 1307714284921, 1284254859387633840, 39916801, 355693655121846], 'label': '20480.e.80.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.gu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HT', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754258
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6046686277268999, 121645100449111681, 4884687184205393, 5167, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '80.gv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HU', 'subgroup_fusion': None, 'weyl_group': '128.853'}
  • id: 63754259
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 6266937607, 1405901273697854641, 1307714284921], 'label': '20480.e.80.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HV', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754260
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.80.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.gx1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HW', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754261
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [40284721, 121645100449111681, 378115344914630272, 5167, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.gy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HX', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754262
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 1284256173249105841, 6266937607, 1307714284921], 'label': '20480.e.80.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.gzB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HY', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754263
    {'ambient': '20480.e', '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': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 6266937607, 2305211535431481721, 1307714284921, 514057631208739176], 'label': '20480.e.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': '10240.l', '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: 63754264
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '40.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.20.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.t1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.T', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754265
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363007, 39921840, 368046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.gzC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.HZ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754266
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ha1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IA', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63754267
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 6045378602895959, 6266937607, 1284610546815729841, 1307714284921], 'label': '20480.e.80.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754268
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 6266937607, 1284610546815729841, 1307714284921, 6402373705727879], 'label': '20480.e.80.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754269
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 6045378602895959, 6266937607, 1284254859387633840, 1307714284921], 'label': '20480.e.80.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hd1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ID', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754270
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 1406255653411665840, 39916927, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.he1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754271
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6045378602895959, 39916927, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hf1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754272
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 1406255653411665840, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754273
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754274
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39916927, 39916801, 121645100449111681, 355693655121846, 6266937607, 1284254859387633840, 1307714284921, 6402373705727879], 'label': '20480.e.80.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hi1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.II', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754275
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '40.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.20.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.u1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.U', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754276
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 1284254865614654641], 'label': '20480.e.80.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.hj1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IJ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754277
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402373705727879, 121645100449111681, 40279687, 363000, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IK', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754278
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1307714284921, 40284721, 378115351181562952, 39921847, 5046, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.hl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IL', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754279
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 5046, 121645100449111681, 355693655121846, 6266937607, 1405901273697854641, 1307714284921], 'label': '20480.e.80.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.hm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IM', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754281
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '320.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 6045378562984199, 6266937607, 1307714284921, 39916801, 1285751422201858145, 355693655121846], 'label': '20480.e.80.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CE', 'old_label': '80.ho1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IO', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754282
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '640.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 1286107109590037471, 4884687224485199, 6045378562984199, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.80.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CE', 'old_label': '80.hp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IP', 'subgroup_fusion': None, 'weyl_group': '128.1613'}
  • id: 63754283
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IQ', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 5046, 377760971387918032, 121645100448748921, 355693655121846, 121645106636215686, 1307714647800, 121646408123484840], 'label': '20480.e.80.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.hqB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IQ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754284
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IR', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 121645106636215686, 121646408123484840, 121646408083563007, 121646408083568046, 121645100448748921, 362881, 355693655121846], 'label': '20480.e.80.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.hqC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IR', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754285
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IS', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 363000, 5046, 121645100449111681, 6401066031354839, 1307714647800, 357001329484927, 355687468017841], 'label': '20480.e.80.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hrB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IS', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754286
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.V', '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': '20480.a1', 'coset_action_label': '20T514', 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 6401066031354839, 355693655121846, 6266937607, 4884687224485199, 1307714284921], 'label': '20480.e.20.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '20.v1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.V', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754287
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IT', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921840, 362881, 121645100449111681, 355693655121841, 6045372376243073, 1307714289967, 357001369769527, 355687468017841], 'label': '20480.e.80.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hrC', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IT', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754288
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IU', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 121645106636215686, 121646408123484840, 121645100449116727, 121645100448748921, 121645100449111686, 362881, 355693655121846], 'label': '20480.e.80.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.hs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IU', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754289
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IV', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [377760971387918032, 121645100448748921, 355693655121846, 121645106636215686, 1307714289967, 1307714284926, 1307714647800, 121646408123484840], 'label': '20480.e.80.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.ht1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IV', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754290
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IW', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355687468017841, 5046, 121645100449111681, 1307714647681, 357001369406760, 6045372376243073, 39921840, 362881], 'label': '20480.e.80.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IW', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754291
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IX', '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': '10240.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6401066031354839, 355693655484846, 121645100449111681, 1307714289967, 1307714284926, 1307714647800, 357001329484927, 355687468017841], 'label': '20480.e.80.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hv1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IX', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754292
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IY', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 355693695033606, 122000794103870646, 355693655121841, 355693655484846, 357001369406767, 122000794104228481, 121646414350500607], 'label': '20480.e.80.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.hw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IY', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754293
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.IZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693655484727, 121645100409199921, 355693655116800, 121646414350500607, 256115864751702358, 122000794103870767, 357001369406767], 'label': '20480.e.80.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.hx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.IZ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754294
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355687468017841, 122000794103870646, 6401066031354839, 355693655121841, 122000794103870767, 355693655116800, 121645100409199921, 121646414350500607], 'label': '20480.e.80.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JA', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754295
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [127691786646184318, 362881, 39921840, 363000, 355693655116800, 121646414350500607, 122000794104233520, 355687468017841], 'label': '20480.e.80.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.hz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JB', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754296
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362881, 121645100449111686, 121645100409199921, 121646414350500607, 122000794104228481, 122000794103870767, 378115351141651192, 357001369406767], 'label': '20480.e.80.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.ia1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JC', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754297
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.W', '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': '20480.a1', 'coset_action_label': '20T530', 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 1407752210038786271, 6401059803971159], 'label': '20480.e.20.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '20.w1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.W', 'subgroup_fusion': None, 'weyl_group': '512.41241'}
  • id: 63754298
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JD', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 122000794104233520, 121645100448748800, 355693695033606, 355693655116800, 355693655484846, 357001369406767, 121646414350500607], 'label': '20480.e.80.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.ib1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JD', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754299
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JE', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355687468017841, 122000794103870646, 6401066031354839, 121645100449116727, 121645100448748921, 121645100449111686, 121645100409199921, 121646414350500607], 'label': '20480.e.80.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.ic1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JE', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754300
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 362881, 39921840, 127691786646184318, 121645100449116727, 355693655484846, 121646414350500607, 355687468017841], 'label': '20480.e.80.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.id1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JF', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754301
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 5046, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ieB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754302
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 122000794104233520, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ieC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754303
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [377760971387918032, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ieD', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JI', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754304
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256470244505435518, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ieE', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754305
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256470244505435518, 5046, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ifB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JK', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754306
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JL', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [377760971387918032, 122000794104233520, 5046, 122000794064311687, 122000787837295920, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ifC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JL', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754307
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JM', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ifD', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JM', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754308
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.X', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1405899965983569841, 7, 355693655121846, 6266937607, 6401066031354839, 121645100449111681], 'label': '20480.e.20.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.x1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.X', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754309
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JN', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256115864751702358, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ifE', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754310
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 355693655121841, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.igB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754311
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 355693655121841, 355693655116800, 357001369406767, 6402373665806158], 'label': '20480.e.80.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.igC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754312
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ihB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754313
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 121645100449116727, 122000794103870767, 1313901388926, 127690479011732999, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ihC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754314
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JS', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 127691786646184318, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.iiB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JS', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754315
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JT', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 121645100449116727, 122000794103870767, 1313901388926, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.iiC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JT', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754316
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JU', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 355693655121841, 1313901388926, 127690479011732999, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ijB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754317
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JV', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691786646184318, 362881, 39921840, 363000, 1313901388926, 355693655121841, 355693655116800, 357001369406767], 'label': '20480.e.80.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ijC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754318
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JW', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 6401066031354839, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ikB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JW', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754319
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.Y', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 121645100449111681, 355693655121846, 6401066031354839, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.20.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.y1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.Y', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754320
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JX', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 127691786646184318, 121645100449116727, 122000794103870767, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ikC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JX', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754321
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JY', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 6401066031354839, 355693655121841, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ilB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JY', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754322
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.JZ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 6401066031354839, 355693655116800, 355693655121841, 357001369406767], 'label': '20480.e.80.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ilC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.JZ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754323
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 127691786646184318, 355693655121841, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.imB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KA', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754324
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 355693655121841, 355693655116800, 127690479011732999, 357001369406767], 'label': '20480.e.80.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.imC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KB', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754325
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 1313901388926, 127690479011732999, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.inB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KC', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754326
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 6401066031354839, 121645100449116727, 122000794103870767, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.inC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KD', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754327
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KE', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 6401066031354839, 1405899965983569960, 1307714647686, 357001369406767], 'label': '20480.e.80.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.io1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754328
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1405901273697854641, 1307714647686, 357001369406767], 'label': '20480.e.80.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ip1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754329
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 6401066031354839, 1284254865614654760, 1307714647686, 357001369406767], 'label': '20480.e.80.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.iq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754330
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.20.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '20.z1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.Z', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754331
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 1284256173249105841, 6045372376243073, 1307714647686, 357001369406767], 'label': '20480.e.80.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ir1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754332
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 1313901388926, 121645100449111681, 1307674373161, 1307714652727, 1406255647184645041, 357001369406767], 'label': '20480.e.80.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CK', 'old_label': '80.is1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KI', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754333
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [377760971427839872, 122000794104233527, 121645100408837161, 121645100449116727, 6266937607, 1307714284921, 121645100449111800, 121645100448748926], 'label': '20480.e.80.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CM', 'old_label': '80.it1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KJ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754334
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714652727, 39921840, 362881, 1307714289960, 1406255647184645041, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.iu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KK', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754335
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 1313901388926, 121645100448753967, 127690479011732999, 121646408083563000, 357001369406767], 'label': '20480.e.80.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.iv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KL', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754336
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6401066031354839, 1307714652727, 1307714289960, 357001369406767], 'label': '20480.e.80.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.iw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KM', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754337
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6045372376243073, 1307714652727, 1307714289960, 357001369406767], 'label': '20480.e.80.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ix1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KN', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754338
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KO', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645106636215686, 378115351181562952, 121645100408837161, 121, 121645100449116727, 1307714284921, 363007, 355693655121846], 'label': '20480.e.80.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.iy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KO', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754339
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 1307714647800, 1307714289960, 357001369406767, 6046680010694273], 'label': '20480.e.80.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.iz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754340
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [127691786646184199, 39921840, 368046, 121646408083563000, 5041, 121645100448748800, 357001369406767, 1313901388926], 'label': '20480.e.80.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ja1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754341
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.BA', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 121645100449111681, 1286107109590037471, 5167, 4528999796026319, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.20.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '20.ba1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.BA', 'subgroup_fusion': None, 'weyl_group': '512.295'}
  • id: 63754342
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5041, 39921840, 368046, 1313901388926, 121645100448748800, 121646408083563000, 357001369406767, 6402373665806039], 'label': '20480.e.80.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.jb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754343
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 1307674373161, 5041, 1313901388926, 357001369406767], 'label': '20480.e.80.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.jc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KS', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754344
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 6401066031354839, 5167, 5041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BW', 'old_label': '80.jd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KT', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754345
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645106636215686, 121645100449116720, 378115344914267512, 121645100448748921, 1307714284921, 121645100409199921, 362881, 355693655121846], 'label': '20480.e.80.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.je1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754346
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [362881, 377760971387918032, 121645100409199921, 121645100448748921, 121645100449116720, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.80.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.jf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754347
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115344914267512, 362881, 39921840, 363000, 5041, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.80.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CA', 'old_label': '80.jg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KW', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754348
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.KX', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 1313901388926, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KX', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754349
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 5167, 1313901388926, 6045372376243073, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ji1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KY', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754350
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 127691780419526279, 121645100449116720, 5167, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.KZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754351
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1307714289960, 1406255647184645041, 357001369406767], 'label': '20480.e.80.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754352
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.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': '80.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6046686277626839, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.20.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '20.bb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.BB', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754353
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714289960, 1406255647184645041, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LB', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754354
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LC', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 39921840, 362881, 1313901388926, 121645100449111681, 6045372376243073, 1307714289960, 357001369406767], 'label': '20480.e.80.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LC', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754355
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LD', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121645100449111800, 355693655121846, 121645106636215686, 378115351181562952, 1307714284921], 'label': '20480.e.80.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.jnB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LD', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754356
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 40284840, 121, 377760971427839872, 121645100448748926, 122000794104233527, 6266937607, 1307714284921], 'label': '20480.e.80.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.jnC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LE', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754357
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121645100449111800, 355693655121846, 121645106636215686, 378115351141651192, 1307714284921], 'label': '20480.e.80.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.joB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LF', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754358
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LG', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [377760971387918032, 5046, 122000794104233527, 121, 40284840, 6266937607, 1307714284921, 121645100448748926], 'label': '20480.e.80.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.joC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754359
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 368046, 1313901388926, 121645100449111681, 1307674373161, 1406255647184645041, 357001369406767], 'label': '20480.e.80.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CK', 'old_label': '80.jp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LH', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754360
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 1313901388926, 6401066031354839, 121646408083563000, 357001369406767], 'label': '20480.e.80.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CL', 'old_label': '80.jq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LI', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754361
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 121645100449116727, 121645100448748921, 355693655121846, 6266937607, 121646408083563000], 'label': '20480.e.80.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.jr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LJ', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754362
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 121645100449116727, 121645100449111686, 363000, 6266937607, 121645100409199921, 362881, 355693655121846], 'label': '20480.e.80.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.js1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LK', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754363
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20.BC', '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': '80.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 1662349092525274318, 2306727901744760880, 6266937607, 1307714284921], 'label': '20480.e.20.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '20.bc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.BC', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754364
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121646408083563000, 5046, 121645100448748921, 121645100449111686, 6266937607, 39921840, 362881, 355693655121846], 'label': '20480.e.80.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.jt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LL', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754365
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 121645100449116727, 355693655121846, 6266937607, 121646408083563000], 'label': '20480.e.80.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.ju1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LM', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754366
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LN', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 1307714289846, 1313901388926, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754367
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1284256173249105841, 1307714289846, 1313901388926, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754368
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 1313901388926, 121645100449111681, 6045372376243073, 1284254865614654760, 1307714289960, 1307714289846, 357001369406767], 'label': '20480.e.80.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LP', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754369
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39921840, 1313901388926, 121645100449116846, 1405899965983569841, 127691780419526279, 121646408083563000, 357001369406767], 'label': '20480.e.80.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754370
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1307714289846, 1406255647184645041, 1313901388926, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.jz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LR', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754371
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1406256954898929960, 121645100449111681, 1307714289846, 1313901388926, 6045372376243073, 1307714289960, 357001369406767, 39921840], 'label': '20480.e.80.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ka1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LS', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754372
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 1307714289846, 1307674373161, 5041, 1313901388926, 357001369406767], 'label': '20480.e.80.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.kb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LT', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754373
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 121645100449116846, 121645100449116720, 1313901388926, 357001369406767, 127690472785075079, 121645100409199921], 'label': '20480.e.80.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BU', 'old_label': '80.kc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LU', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754374
    {'ambient': '20480.e', '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': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921, 514057631208739176], 'label': '20480.e.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': '10240.l', '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': '10240.l'}
  • id: 63754375
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 2305211535431481721, 514058938883464896, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.a1', 'projective_image': '10240.l', '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': '320.1635'}
  • id: 63754376
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 121645100449111681, 1307714284926, 121, 1307674373161, 6045378602900993, 1313901388926, 357001369406767], 'label': '20480.e.80.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BZ', 'old_label': '80.kd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LV', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754377
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LW', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 121645100449111681, 1307714284926, 1307714284800, 6045378602900993, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ke1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LW', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754378
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121645100449111681, 1307714284926, 1307714284800, 1313901388926, 6045372376243073, 357001369406767, 39921840], 'label': '20480.e.80.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.kf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LX', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754379
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121645100449111681, 6401066031354839, 1307714284926, 1307714284800, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.kg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LY', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754380
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.LZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39916801, 40279687, 121646408083563000, 121645100448748921, 127691786686095959, 357001369406767, 1284610553043113521, 1313901388926], 'label': '20480.e.80.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.kh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.LZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754381
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 1406255653411665840, 40279687, 121645100448748921, 1313901388926, 39916801, 357001369406767], 'label': '20480.e.80.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ki1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754382
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39916801, 40279687, 1284254865615017520, 121646408083563000, 121645100448748921, 127691786686095959, 357001369406767, 1313901388926], 'label': '20480.e.80.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.kj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754383
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 6402373705727879, 40279687, 121645100448748921, 1313901388926, 39916801, 357001369406767], 'label': '20480.e.80.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.kk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754384
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MD', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111686, 355693655121846, 121645106636215686, 378115351141651192, 1307674373161, 1307714647681, 1307714289967, 121646408083200121], 'label': '20480.e.80.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.kl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MD', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754385
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ME', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [377760971387918032, 121645100449116727, 121645100448748800, 355693655121846, 121645106636215686, 1307714284926, 1307674373161, 1307714647681], 'label': '20480.e.80.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.km1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ME', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754386
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 514057631208739176, 6045378562984199, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.b1', 'projective_image': '10240.l', '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': '640.21536'}
  • id: 63754387
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 355693655484846, 355693655121841, 6401066031354839, 1307714289967, 1307714647800, 357001329484927, 355687468017841], 'label': '20480.e.80.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.kn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MF', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754388
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100449111681, 6045372376243073, 1307714647681, 355687468017841], 'label': '20480.e.80.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.ko1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MG', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754389
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 121645106636215686, 5046, 121646408083563007, 1307714647681, 1307674373161, 121646408083200121, 355693655121846], 'label': '20480.e.80.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.kpB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MH', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754390
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 377760971387918032, 121645100448748800, 355693655121846, 121645106636215686, 1307714647681, 1307674373161, 121646408083568046], 'label': '20480.e.80.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BG', 'old_label': '80.kpC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MI', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754391
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1307714647800, 357001369406760, 5046, 363000, 6401066031354839, 357001329484927, 121645100449111681, 355687468017841], 'label': '20480.e.80.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.kqB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MJ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754392
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1307714289967, 355687468017841, 121645100449111681, 1307714284926, 357001369769527, 6045372376243073, 39921840, 362881], 'label': '20480.e.80.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BI', 'old_label': '80.kqC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MK', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754393
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ML', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121645100449111681, 6266937726, 378115351181562952, 1307714284921, 355687468017841], 'label': '20480.e.80.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.kr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ML', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754394
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MM', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 363007, 40284840, 121645100449111681, 6266937726, 378115351141651192, 1307714284921, 355687468017841], 'label': '20480.e.80.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.ks1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MM', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754395
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MN', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.kt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754396
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 355693655121846, 6266937607, 1307714284921, 6402373665806039], 'label': '20480.e.80.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ku1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754397
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [121645100448748800, 5046, 121646408083200000, 126528479958586199, 128047474114192079, 635348351824284097, 122002101738684841, 39921840], 'label': '20480.e.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '320.1635'}
  • id: 63754398
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5041, 39921840, 368046, 362881, 355693655121846, 6266937607, 1307714284921, 127691786646184199], 'label': '20480.e.80.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.kv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754399
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 121645100449116846, 1284256173249105841, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BL', 'old_label': '80.kw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MQ', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 63754400
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1284611854450181041, 121645100449116846, 6401066031354839, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BX', 'old_label': '80.kx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MR', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 63754401
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1405899965983569841, 1307714284926, 355693655121846, 6266937607, 1307714289967, 121645100449111681], 'label': '20480.e.80.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BY', 'old_label': '80.ky1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MS', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754402
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MT', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116846, 4884687224485199, 6045378562984199, 6266937607, 1307714284921, 39916801, 1285751428428879065, 355693655121846], 'label': '20480.e.80.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CG', 'old_label': '80.kz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MT', 'subgroup_fusion': None, 'weyl_group': '128.514'}
  • id: 63754403
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 121645100448753967, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CL', 'old_label': '80.la1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MU', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754404
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355687468017841, 378115351181562952, 121645100449111681, 121, 6266942641, 6227388847, 1307714284921, 363007], 'label': '20480.e.80.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CM', 'old_label': '80.lb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MV', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754405
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1307714289967, 1307714647800, 121645100449111681, 1307714284926, 363000, 6266937607, 39921840, 355693655121846], 'label': '20480.e.80.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.lc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MW', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63754406
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121645100449111681, 1307714284926, 1307674373161, 363000, 6266937607, 362881, 355693655121846], 'label': '20480.e.80.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ld1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MX', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 63754407
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 121645100449111681, 1307714284926, 363000, 6266937607, 39921840, 362881, 355693655121846], 'label': '20480.e.80.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.A', 'old_label': '80.le1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MY', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754408
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '40.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.40.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.A', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 63754409
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.MZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 1284256173249105841, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.lf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.MZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754410
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 39921961, 5167, 1405901273698217520, 6266937607, 1307714284921, 127690472785075079, 355693655121846], 'label': '20480.e.80.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.lg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754411
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1284611854450181041, 7, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.lh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754412
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 1406256954899292720, 39921961, 5167, 6266937607, 1307714284921, 127690472785075079, 355693655121846], 'label': '20480.e.80.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.li1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754413
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ND', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1307714647800, 39921840, 1405899965983569841, 1307714284926, 355693655121846, 6266937607, 1307714289967, 121645100449111681], 'label': '20480.e.80.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.lj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ND', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754414
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449116727, 355693655121846, 121645100409199921, 121645100449111800, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.lk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NE', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754415
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NF', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 378115344914267512, 6227025847, 6267300607, 1307714284921, 6266942646, 362881], 'label': '20480.e.80.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ll1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NF', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754416
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 378116652588998278, 6227025847, 6267300607, 1307714284921, 6266942646, 362881], 'label': '20480.e.80.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.lm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754417
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NH', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.ln1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NH', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754418
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lo1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NI', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754419
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.B', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121, 121645100449111686, 1405901273698217520, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.b1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.B', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754420
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 1405901273698217520, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NJ', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754421
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NK', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 5041, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.80.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NK', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754422
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NL', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6402367438422359, 4884687224485199, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.M', 'old_label': '80.lr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NL', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754423
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1284611854450181041, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.ls1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NM', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754424
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 355693655121846, 6266937607, 1406256954899292720, 1307714284921, 127690472785075079], 'label': '20480.e.80.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NN', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754425
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NO', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 5041, 355693655121846, 6266937607, 1307714284921, 4528999796026319, 6401059803971159], 'label': '20480.e.80.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NO', 'subgroup_fusion': None, 'weyl_group': '256.5693'}
  • id: 63754426
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NP', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 362881, 39921840, 5046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607], 'label': '20480.e.80.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.lv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NP', 'subgroup_fusion': None, 'weyl_group': '64.92'}
  • id: 63754427
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NQ', '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': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 5046, 121, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.lw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NQ', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754428
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NR', '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': '20480.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 121, 5046, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.lx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NR', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754429
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NS', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 378115344914267512, 5041, 363000, 1307714284921, 39921840, 362881], 'label': '20480.e.80.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.ly1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NS', 'subgroup_fusion': None, 'weyl_group': '64.92'}
  • id: 63754430
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.C', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 1284256173249105841, 355693655121846, 121645100449111686, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.40.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.c1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.C', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754431
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NT', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 5046, 6401066031354839, 121, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.lz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NT', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754432
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1284256173249105841, 5167, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.80.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ma1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754433
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NV', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449116720, 1284256173249105841, 5167, 6266937607, 1307714284921, 6401059803971159, 121645100409199921, 355693655121846], 'label': '20480.e.80.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.mb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NV', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754434
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NW', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 121645100449116720, 355693655121846, 121645100409199921, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.80.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.mc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NW', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754435
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NX', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [127691780419526279, 121645100449116720, 4884687224485199, 5167, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.80.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '80.md1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NX', 'subgroup_fusion': None, 'weyl_group': '128.560'}
  • id: 63754436
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 121645100449116720, 5167, 6266937607, 1307714284921, 6401059803971159, 121645100409199921, 355693655121846], 'label': '20480.e.80.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.me1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NY', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754437
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.NZ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 121645100449116720, 355693655121846, 121645100409199921, 6266937607, 1307714284921, 4528999796026319, 127690472785075079], 'label': '20480.e.80.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '80.mf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.NZ', 'subgroup_fusion': None, 'weyl_group': '128.853'}
  • id: 63754438
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6046686277268999, 4884687184205393, 5167, 6266937607, 1307714284921, 1407396528837711071, 39916801, 355693655121846], 'label': '20480.e.80.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '80.mg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OA', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754439
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6046686277268999, 4884687184205393, 5167, 6266937607, 1307714284921, 1407396522610690151, 39916801, 355693655121846], 'label': '20480.e.80.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.G', 'old_label': '80.mh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OB', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754440
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [126528479958586199, 355687468012807, 121645100448748921, 121645100449111686, 121645106635852807, 127690479011732999, 357001369406767, 39921840], 'label': '20480.e.80.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.V', 'old_label': '80.mi1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OC', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754441
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.D', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 121645100449116727, 121645100449111800, 355693655121846, 6266937607, 1307714284921, 126528479958586199, 127690472785075079], 'label': '20480.e.40.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.d1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.D', 'subgroup_fusion': None, 'weyl_group': '256.14764'}
  • id: 63754442
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OD', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [4884687224485199, 128047474114192079, 355687468012807, 121645100448748921, 121645100449111686, 121645106635852807, 357001369406767, 39921840], 'label': '20480.e.80.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.W', 'old_label': '80.mj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OD', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754443
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OE', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [363000, 362881, 355693655116800, 122000794104233520, 126528479958586199, 355687428096001, 357001369406767, 6402373665806158], 'label': '20480.e.80.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.U', 'old_label': '80.mk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OE', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754444
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 6045378563347078, 4884687224485199, 355693655116800, 363000, 357001369406767, 355687428096001, 362881], 'label': '20480.e.80.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.X', 'old_label': '80.ml1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OF', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754445
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 355693695033606, 6401066031354839, 121645100449111686, 355693655484846, 6266937607, 357001369406767, 362881], 'label': '20480.e.80.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.mm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OG', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754446
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OH', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 6401066031354839, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.mnB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754447
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OI', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.mnC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OI', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754448
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 121645100448748800, 5046, 122000794103870767, 127690479011732999, 6266937607, 357001369406767, 39921840], 'label': '20480.e.80.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.mnD', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OJ', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754449
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OK', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6401066031354839, 121645100449116727, 355693655121841, 122000794103870767, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.moB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OK', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754450
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OL', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 6401066031354839, 355693655116800, 121645100449111686, 357001369406767], 'label': '20480.e.80.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.moC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OL', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754451
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OM', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449116727, 355693655121841, 122000794103870767, 1313901388926, 6402373665806158, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.mpB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OM', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754452
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.E', '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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [355687468017841, 6267300486, 121645100449111681, 1661992097422810318, 6227025847, 6267300607, 5041, 1307714284921, 2306727907971781681], 'label': '20480.e.40.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.e1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.E', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63754453
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ON', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 121645100449111686, 355693655116800, 357001369406767, 6402373665806158], 'label': '20480.e.80.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.mpC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ON', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754454
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OO', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449116727, 355693655121841, 122000794103870767, 1313901388926, 127690479011732999, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.mqB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754455
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OP', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363000, 362881, 39921840, 1313901388926, 121645100449111686, 355693655116800, 127690479011732999, 357001369406767], 'label': '20480.e.80.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.mqC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754456
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 1313901388926, 127690479011732999, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.mr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754457
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OR', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 127691786646184318, 1313901388926, 355693655484846, 357001369406767, 39921840, 362881], 'label': '20480.e.80.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ms1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754458
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OS', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693655484727, 121645100409199921, 355693655116800, 121645100448748921, 256470244505435518, 121646408083563000, 355687468017841], 'label': '20480.e.80.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.mt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OS', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754459
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OT', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 355693655484846, 121645100449111686, 121645100449116727, 122000794064311687, 256470244505435518, 121646408083563000, 355687468017841], 'label': '20480.e.80.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.mu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OT', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754460
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OU', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [127691780419526279, 122000794064311687, 1407752216225527385, 126528479958586199, 5167, 5041, 1313901388926, 357001369406767], 'label': '20480.e.80.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.J', 'old_label': '80.mv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OU', 'subgroup_fusion': None, 'weyl_group': '128.514'}
  • id: 63754461
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OV', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [127691780419526279, 1286107109590037471, 4884687224485199, 5167, 1313901388926, 355693655116807, 357001369406767, 121645100409199921], 'label': '20480.e.80.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.J', 'old_label': '80.mw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OV', 'subgroup_fusion': None, 'weyl_group': '128.514'}
  • id: 63754462
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OW', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 355693655484841, 355693655121967, 4528999796026319, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.mx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OW', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754463
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.F', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111686, 355693655121846, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.40.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.f1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.F', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754464
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OX', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121, 6402367438422478, 126172792530853079, 355693655116800, 1313901388926, 357001369406767, 121645100448748926, 39921840], 'label': '20480.e.80.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.my1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OX', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754465
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OY', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121, 39921840, 1313901388926, 355693655116800, 121645100448748926, 4528999796026319, 6401059803971159, 357001369406767], 'label': '20480.e.80.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.mz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OY', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754466
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.OZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 355693655484841, 355693655121967, 6402367438422478, 126172792530853079, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.na1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.OZ', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754467
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 5046, 121645100449111681, 6266937726, 378116652588998278, 1307714284921, 355687468017841], 'label': '20480.e.80.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PA', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754468
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 5046, 121645100449111681, 6266937726, 378115351141651192, 1307714284921, 355687468017841], 'label': '20480.e.80.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PB', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754469
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PC', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 368046, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.nd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PC', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754470
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PD', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 39921840, 6401066031354839, 121645100449111686, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ne1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PD', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754471
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PE', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111686, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.nf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PE', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754472
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PF', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 39921840, 368046, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ng1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PF', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754473
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 126528479958586199, 355687468380720, 6046686277631999, 355693655116800, 355687468380841, 357001369406767, 355687428096001], 'label': '20480.e.80.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.U', 'old_label': '80.nh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PG', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754474
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.G', '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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 121, 4884687224485199, 121645100449111686, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.g1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.G', 'subgroup_fusion': None, 'weyl_group': '512.46946'}
  • id: 63754475
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794104233520, 6401066031354839, 4884687224485199, 355687468380720, 355693655116800, 355687468380841, 357001369406767, 355687428096001], 'label': '20480.e.80.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.X', 'old_label': '80.ni1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PH', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754476
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [128046166399907158, 122000794103870646, 126528479958586199, 355687468012807, 121645100449111686, 122000787836933160, 357001369406767, 39921840], 'label': '20480.e.80.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.V', 'old_label': '80.nj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PI', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754477
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [122000794103870646, 4884687224485199, 127691786646184318, 355687468012807, 121645100449111686, 122000787836933160, 357001369406767, 39921840], 'label': '20480.e.80.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.W', 'old_label': '80.nk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PJ', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754478
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 121645100449116727, 355693655121841, 363000, 127690479011732999, 6266937607, 357001369406767, 39921840], 'label': '20480.e.80.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.nl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PK', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754479
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PL', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [256470244505435518, 5046, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nmB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PL', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754480
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PM', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115351141651192, 122000794104233520, 122000794064311687, 122000787837295920, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nmC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PM', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754481
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PN', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [378115351141651192, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nmD', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754482
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PO', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116727, 121645100409199921, 121645100448748921, 122000794104233520, 122000794103870646, 378115351141651192, 121646408083563000, 355687468017841], 'label': '20480.e.80.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.nmE', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PO', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754483
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PP', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 5046, 122000794064311687, 122000787837295920, 121645100449111686, 122000794103870767, 1307714284921, 362881], 'label': '20480.e.80.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nnB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754484
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256470244505435518, 122000794104233520, 122000794064311687, 122000787837295920, 122000794103870767, 355693655116800, 1307714284921, 362881], 'label': '20480.e.80.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nnC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754485
    {'ambient': '20480.e', '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': [7, 362881, 39921840, 363000, 5046, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921, 514057631208739176], 'label': '20480.e.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': '10240.l', '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': '10240.l'}
  • id: 63754486
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 121645100449116727, 355693655121846, 121645100449111800, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.40.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '40.h1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.H', 'subgroup_fusion': None, 'weyl_group': '256.298'}
  • id: 63754487
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PR', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [256470244505435518, 122000794064311687, 122000787837295920, 355693655121841, 122000794103870767, 1307714284921, 122000794104228481, 362881], 'label': '20480.e.80.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nnD', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754488
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PS', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693695033606, 6401066031354839, 121645100449116727, 121645100448748921, 6266937607, 357001369406767, 362881], 'label': '20480.e.80.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.Y', 'old_label': '80.no1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PS', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754489
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PT', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [378115351141651192, 121646408083563000, 355687468017841, 122000794064311687, 355693655121841, 355693655116800, 355693655484846, 362881], 'label': '20480.e.80.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.BA', 'old_label': '80.np1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PT', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 63754490
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PU', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 121645100449111681, 378116652588998278, 6267300607, 6227025847, 1307714284921, 355687468017841], 'label': '20480.e.80.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754491
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PV', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 121645100449111681, 6227025847, 6267300607, 378115351141651192, 1307714284921, 355687468017841], 'label': '20480.e.80.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.nr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754492
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PW', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 6401066031354839, 355693655121846, 121645100448748926, 121645100449111800, 121645100449116727, 6266937607, 1307714284921], 'label': '20480.e.80.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ns1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PW', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754493
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PX', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.nt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PX', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754494
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PY', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 6401066031354839, 121, 6266937607, 1307714284921, 363007, 39921840, 355693655121846], 'label': '20480.e.80.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.nu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PY', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754495
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.PZ', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 121645100449116727, 355693655121846, 121645100448748926, 121645100449111800, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.nv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.PZ', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754496
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693695033606, 4884687224485199, 121645100449116727, 1313901388926, 357001369406767, 127690472785075079, 122000794104233646], 'label': '20480.e.80.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.D', 'old_label': '80.nw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QA', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754497
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [127691780419526279, 1286107109590037471, 126528479958586199, 5167, 5041, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.40.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '40.i1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.I', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754498
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 355693695033606, 121645100449116727, 126172792530853079, 1313901388926, 6401059803971159, 357001369406767, 122000794104233646], 'label': '20480.e.80.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.H', 'old_label': '80.nx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QB', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 63754499
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QC', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121, 126528479958586199, 6402367438422478, 121645100449111686, 355693655116800, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.ny1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QC', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754500
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QD', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 355693655121967, 6402367438422478, 126172792530853079, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.nzB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QD', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754501
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QE', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [122000794104233520, 5046, 355693655121967, 4528999796026319, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.nzC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QE', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754502
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QF', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121, 4884687224485199, 121645100449111686, 355693655116800, 1313901388926, 6401059803971159, 357001369406767, 39921840], 'label': '20480.e.80.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.oa1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QF', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754503
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6402367438422359, 355693655116921, 126528479958586199, 122000794104228486, 1407395221123058225, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.O', 'old_label': '80.ob1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QG', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754504
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6402367438422359, 355693655116921, 355693695033606, 121645100449116720, 4884687224485199, 1285750114487568311, 1313901388926, 357001369406767], 'label': '20480.e.80.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.O', 'old_label': '80.oc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QH', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754505
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 122000794103870646, 126528479958586199, 121645100448748921, 1313901388926, 127690479011732999, 357001369406767, 39921840], 'label': '20480.e.80.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.od1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QI', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754506
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693655116800, 39921840, 362881, 6402373665806158, 363000, 357001369406767, 126528479958586199, 1313901388926], 'label': '20480.e.80.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '80.oe1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QJ', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754507
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100448748800, 5046, 4884687224485199, 122000794103870767, 1313901388926, 127690479011732999, 357001369406767, 39921840], 'label': '20480.e.80.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.of1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QK', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754508
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [127691780419526279, 1286107109590037471, 4884687224485199, 5167, 5041, 6266937607, 1307714284921, 121645100409199921, 355693655121846], 'label': '20480.e.40.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.F', 'old_label': '40.j1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.J', 'subgroup_fusion': None, 'weyl_group': '256.13573'}
  • id: 63754509
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QL', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [355693655484727, 4884687224485199, 355693655116800, 1313901388926, 355693655484846, 6402373665806158, 357001369406767, 39921840], 'label': '20480.e.80.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '80.og1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QL', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754510
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QM', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116720, 39921961, 5167, 1405901273698217520, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ohB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754511
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QN', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116720, 1284256173249105841, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ohC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754512
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QO', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921961, 5167, 121645100449116720, 355693655121846, 1284256173249105841, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.oiB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754513
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QP', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449116720, 39921961, 5167, 1405901273698217520, 6266937607, 1307714284921, 127690472785075079, 355693655121846], 'label': '20480.e.80.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.oiC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QP', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754514
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 5167, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.80.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.oj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754515
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QR', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111686, 355693655121846, 6266937607, 6402367438422359, 1406256954899292720, 1307714284921], 'label': '20480.e.80.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ok1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QR', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754516
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QS', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111686, 355693655121846, 6266937607, 127691780419526279, 1284611854450181041, 1307714284921], 'label': '20480.e.80.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ol1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QS', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754517
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QT', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 127691780419526279, 1406256954899292720, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.om1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QT', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754518
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QU', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 5167, 355693655121846, 6266937607, 4884687224485199, 6402367438422359, 1307714284921], 'label': '20480.e.80.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.M', 'old_label': '80.on1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QU', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754519
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 5041, 121645100409199921, 355693655121846, 1286107115856612185, 6266937607, 1307714284921, 4528999796026319, 127690472785075079], 'label': '20480.e.40.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '40.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.K', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754520
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QV', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111686, 355693655121846, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.80.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.N', 'old_label': '80.oo1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QV', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754521
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QW', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111686, 355693655121846, 6266937607, 6402367438422359, 1307714284921, 126528479958586199], 'label': '20480.e.80.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '80.op1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QW', 'subgroup_fusion': None, 'weyl_group': '256.304'}
  • id: 63754522
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QX', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111686, 355693655121846, 6266937607, 4884687224485199, 6402367438422359, 1307714284921], 'label': '20480.e.80.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '80.oq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QX', 'subgroup_fusion': None, 'weyl_group': '256.304'}
  • id: 63754523
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QY', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5167, 4528999796026319, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.C', 'old_label': '80.or1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QY', 'subgroup_fusion': None, 'weyl_group': '256.298'}
  • id: 63754524
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.QZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5167, 121645100449111686, 355693655121846, 121645100409199921, 6266937607, 6402367438422359, 1406256954899292720, 1307714284921], 'label': '20480.e.80.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.os1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.QZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754525
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5167, 121645100449111686, 121645100409199921, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.80.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ot1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754526
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6046686277268999, 126528479919032393, 5167, 5041, 6266937607, 1307714284921, 1407752210038786271, 355693655121846], 'label': '20480.e.80.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '80.ou1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RB', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754527
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6046686277268999, 4884687184205393, 5167, 5041, 6266937607, 1307714284921, 1407752210038786271, 355693655121846], 'label': '20480.e.80.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '80.ov1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RC', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754528
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RD', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921961, 5167, 1405901273698217520, 5041, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ow1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RD', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754529
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RE', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921961, 5041, 5167, 1284256173249105841, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ox1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754530
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 5041, 121645100409199921, 355693655121846, 1286107115856612185, 6266937607, 126172792530853079, 1307714284921, 127690472785075079], 'label': '20480.e.40.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '40.l1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.L', 'subgroup_fusion': None, 'weyl_group': '256.4490'}
  • id: 63754531
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1284256173249105841, 39921961, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.oy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754532
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921961, 5041, 1405901273698217520, 5167, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.oz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754533
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405901273698217520, 121645100449116727, 355693655121846, 121645100409199921, 121645100449111800, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pa1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754534
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1284256173249105841, 121645100409199921, 121645100449111800, 121645100449116727, 355693655121846, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754535
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RJ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 121, 1284256173249105841, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754536
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RK', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 1284256173249105841, 121645100449111800, 121645100449116727, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754537
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RL', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405901273698217520, 39921840, 121645100449116727, 355693655121846, 121645100449111800, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pe1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RL', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754538
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RM', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 1405901273698217520, 121, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.80.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.pf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754539
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RN', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121, 126528479958586199, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.pg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RN', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754540
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RO', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 121, 4528999796026319, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ph1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RO', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754541
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284256173249105841, 121645100409199921, 121645100449111800, 121645100449111686, 121645100449116727, 355693655121846, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.40.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.m1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.M', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754542
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RP', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 121, 4884687224485199, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.pi1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RP', 'subgroup_fusion': None, 'weyl_group': '256.1529'}
  • id: 63754543
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355687468017841, 121645100449111681, 1662349092525274318, 363000, 1307714284921, 2306727907971781681, 39921840, 362881], 'label': '20480.e.80.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.M', 'old_label': '80.pj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RQ', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754544
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RR', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 121645100449116727, 355693655121846, 121645100449111800, 6266937607, 126172792530853079, 1307714284921, 6401059803971159], 'label': '20480.e.80.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.N', 'old_label': '80.pk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RR', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754545
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RS', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1286107115856974945, 121645100449116720, 126528479958586199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '80.pl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RS', 'subgroup_fusion': None, 'weyl_group': '256.1734'}
  • id: 63754546
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RT', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449116720, 1407752210038423271, 126528479958586199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '80.pm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RT', 'subgroup_fusion': None, 'weyl_group': '256.1734'}
  • id: 63754547
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RU', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1286107115856974945, 121645100449116720, 4884687224485199, 5167, 6045378562984199, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '80.pn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RU', 'subgroup_fusion': None, 'weyl_group': '256.1734'}
  • id: 63754548
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RV', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 362881, 121645100449111681, 378116652588998278, 6267300607, 6227025847, 1307714284921, 355687468017841], 'label': '20480.e.80.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.po1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RV', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754549
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RW', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 362881, 121645100449111681, 6227025847, 6267300607, 378115351141651192, 1307714284921, 355687468017841], 'label': '20480.e.80.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.pp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RW', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754550
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RX', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.pq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RX', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754551
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RY', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 362881, 6401066031354839, 355693655121846, 121645100448748921, 121645100449116727, 6266937607, 1307714284921], 'label': '20480.e.80.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.pr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RY', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754552
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1405901273698217520, 121645100449116727, 355693655121846, 121645100409199921, 121645100449111800, 121645100449111686, 6266937607, 1307714284921, 127690472785075079], 'label': '20480.e.40.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.n1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.N', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754553
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.RZ', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 362881, 121645100449116727, 355693655121846, 121645100448748921, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.ps1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.RZ', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754554
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SA', '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': '20480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.80.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '80.pt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SA', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754555
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1307714284807, 1313901388926, 1405899965983569960, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.puB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754556
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1307714284807, 1405901273697854641, 1313901388926, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.puC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754557
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SD', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 1307714284807, 1405901273697854641, 1313901388926, 6045372376243073, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.pvB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SD', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754558
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SE', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 1405899965983569960, 6045372376243073, 1307714284807, 357001369406767], 'label': '20480.e.80.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.pvC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754559
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SF', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 6402367438422359, 121646408083563000, 121645100449116846, 121645100448753960, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.pw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754560
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SG', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6402367438422359, 121646408083563000, 121645100449116846, 1284254865615017520, 368041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.px1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SG', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754561
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 127691780419526279, 121645100449116846, 368041, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.py1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SH', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754562
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 127691780419526279, 121645100449116846, 1284254865615017520, 121645100448753960, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.pz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754563
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1407752216225527385, 126528479958586199, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.o1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.O', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754564
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 5046, 377760971387918032, 355693655121846, 121645100449111800, 121645106636215686, 1307714284921], 'label': '20480.e.80.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qaB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754565
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 121, 5046, 122000794104233527, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.80.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qaC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SK', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754566
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SL', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 5046, 121645100449111800, 355693655121846, 121645106636215686, 378115351141651192, 1307714284921], 'label': '20480.e.80.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qbB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SL', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754567
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SM', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 40284840, 121, 5046, 377760971387918032, 122000794104233527, 6266937607, 1307714284921], 'label': '20480.e.80.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qbC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SM', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754568
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SN', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6045372376243073, 1307714284926, 1307714652727, 357001369406767], 'label': '20480.e.80.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qcB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SN', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754569
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SO', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 368046, 1313901388926, 121645100448748800, 6401066031354839, 121646408083563000, 357001369406767], 'label': '20480.e.80.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qcC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SO', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754570
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SP', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 1307714647800, 121645100449111681, 6401066031354839, 1313901388926, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qdB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754571
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SQ', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100448748800, 121646408083563000, 6401066031354839, 121645100449111686, 1313901388926, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qdC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754572
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SR', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 368046, 1313901388926, 121645100449111681, 6045372376243073, 1307714647800, 357001369406767], 'label': '20480.e.80.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qeB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SR', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754573
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SS', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100448748800, 121646408083563000, 121645100449111686, 1313901388926, 127690479011732999, 357001369406767, 368046, 39921840], 'label': '20480.e.80.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qeC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SS', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754574
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1286107109590037471, 126528479958586199, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.p1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.P', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754575
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.ST', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6401066031354839, 1307714284926, 1307714652727, 357001369406767], 'label': '20480.e.80.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qfB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ST', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754576
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SU', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 127690479011732999, 121646408083563000, 7, 121645100448748800, 357001369406767, 1313901388926], 'label': '20480.e.80.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qfC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SU', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754577
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SV', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [6402367438422359, 121646408083563000, 1284254865615017520, 368041, 5167, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qgB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SV', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754578
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SW', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 127691780419526279, 1284254865615017520, 121645100448753960, 5167, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qgC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SW', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754579
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SX', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 6402367438422359, 121646408083563000, 368041, 5167, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qhB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SX', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754580
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SY', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 121646408083563000, 127691780419526279, 121645100448753960, 5167, 1313901388926, 357001369406767, 121645100409199921], 'label': '20480.e.80.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qhC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SY', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754581
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.SZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [40279687, 5041, 1313901388926, 1406255653411665840, 121645100448748921, 121646408083563000, 357001369406767, 127691786686095959], 'label': '20480.e.80.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qi1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.SZ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754582
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 40279687, 1284610553043113521, 121645100448748921, 5041, 1313901388926, 357001369406767], 'label': '20480.e.80.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754583
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TB', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [40279687, 5041, 1313901388926, 121645100448748921, 1284610553043113521, 121646408083563000, 357001369406767, 127691786686095959], 'label': '20480.e.80.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754584
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TC', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 1406255653411665840, 40279687, 121645100448748921, 5041, 1313901388926, 357001369406767], 'label': '20480.e.80.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ql1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754585
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [6402367438422359, 121645100449116720, 1407752216225527385, 4884687224485199, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.q1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.Q', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754586
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TD', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [363007, 39921840, 6401059803971159, 1307714284800, 5046, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TD', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754587
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TE', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 6401059803971159, 1307714284800, 5046, 1307714647686, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.80.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TE', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754588
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TF', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 1313901388926, 121645100449111681, 6045378602900993, 1307714284800, 1307714647686, 357001369406767], 'label': '20480.e.80.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qo1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TF', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754589
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TG', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 363007, 1313901388926, 121645100449111681, 6045378602900993, 1307714284800, 357001369406767], 'label': '20480.e.80.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.qp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754590
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TH', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 362881, 377760971387918032, 121645100409199921, 121645100448748921, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.80.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754591
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TI', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362881, 1307714284921, 378115351141651192, 7, 121645100409199921, 121645100448748921, 355693655121846, 121645106636215686], 'label': '20480.e.80.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.qr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TI', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754592
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TJ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 121645100449116720, 1406255653411665840, 40279687, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qsB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754593
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TK', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 121645100449116720, 40279687, 1284610553043113521, 127691786686095959, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qsC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754594
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TL', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 121645100449116720, 40279687, 1284610553043113521, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qtB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TL', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754595
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TM', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121646408083563000, 6402373705727879, 121645100449116720, 1406255653411665840, 40279687, 121645100448748921, 1313901388926, 357001369406767], 'label': '20480.e.80.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qtC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754596
    {'ambient': '20480.e', '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': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6401066031354839, 121645100449111681, 355693655121846, 6266937607, 2305211535431481721, 1307714284921, 514057631208739176], 'label': '20480.e.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.d1', 'projective_image': '20480.e', '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': '10000.ec'}
  • id: 63754597
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 6266937607, 6402367438422359, 1307714284921, 1285751422161941351, 126528479958586199], 'label': '20480.e.40.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.r1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.R', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754598
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TN', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1313901388926, 126, 1405899965983569960, 357001369406767, 368046, 39921840], 'label': '20480.e.80.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754599
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TO', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 1405901273697854641, 1313901388926, 126, 6045372376243073, 357001369406767, 368046, 39921840], 'label': '20480.e.80.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754600
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TP', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1405901273697854641, 1313901388926, 126, 357001369406767, 368046, 39921840], 'label': '20480.e.80.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TP', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754601
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TQ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [126, 39921840, 368046, 1313901388926, 121645100449111681, 1405899965983569960, 6045372376243073, 357001369406767], 'label': '20480.e.80.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TQ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754602
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TR', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1406256954898929960, 121645100449111681, 6401066031354839, 1313901388926, 357001369406767, 368046, 39921840, 362881], 'label': '20480.e.80.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qyB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TR', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754603
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TS', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1406256954898929960, 1307714647800, 121645100449111681, 6401066031354839, 1307714652727, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.80.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qyC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TS', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754604
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TT', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 362881, 39921840, 1313901388926, 121645100449111681, 6401066031354839, 1406255647184645041, 357001369406767], 'label': '20480.e.80.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qzB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TT', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754605
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TU', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921840, 1313901388926, 121645100449111681, 6401066031354839, 1307714647800, 1307714652727, 1406255647184645041, 357001369406767], 'label': '20480.e.80.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.qzC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754606
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TV', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1406256954898929960, 1307714647800, 121645100449111681, 6401066031354839, 1313901388926, 357001369406767, 368046, 39921840], 'label': '20480.e.80.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ra1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TV', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754607
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TW', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [39921840, 362881, 1313901388926, 121645100449111681, 6045372376243073, 1307714652727, 1406255647184645041, 357001369406767], 'label': '20480.e.80.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TW', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754608
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 1407396528797431265, 6266937607, 6402367438422359, 1307714284921, 126528479958586199], 'label': '20480.e.40.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.s1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.S', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754609
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TX', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1406256954898929960, 121645100449111681, 6401066031354839, 1307714652727, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TX', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754610
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TY', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 1313901388926, 121645100449111681, 6045372376243073, 1307714647800, 1406255647184645041, 357001369406767], 'label': '20480.e.80.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TY', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754611
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.TZ', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [5046, 362881, 377760971387918032, 121645100409199921, 121645100448748921, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.80.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.re1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.TZ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754612
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UA', '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': '20480.a1', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362881, 1307714284921, 378115351141651192, 121645100409199921, 121645100448748921, 5046, 355693655121846, 121645106636215686], 'label': '20480.e.80.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '80.rf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UA', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754613
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UB', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 363000, 6046686277626839, 1313901388926, 121645100449111681, 1307714647800, 357001369406767], 'label': '20480.e.80.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.rg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UB', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754614
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UC', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 121645100449111681, 6046686277626839, 363000, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.rh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UC', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754615
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UD', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 121645100449111681, 6402367478707073, 363000, 1313901388926, 357001369406767, 39921840, 362881], 'label': '20480.e.80.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.ri1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UD', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754616
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UE', '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': '20480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 363000, 1313901388926, 121645100449111681, 1307714647800, 6402367478707073, 357001369406767], 'label': '20480.e.80.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '80.rj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UE', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754617
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UF', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [126, 39921840, 368046, 121645100449111681, 355693655121846, 1284256173249105841, 6266937607, 1307714284921], 'label': '20480.e.80.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.rkB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UF', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754618
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UG', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 39921840, 368046, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 1284254865614654641], 'label': '20480.e.80.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rkC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754619
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 121645100449116720, 355693655121846, 6266937607, 4884687224485199, 6402367438422359, 1307714284921, 1285751422161941351], 'label': '20480.e.40.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.T', 'subgroup_fusion': None, 'weyl_group': '512.121024'}
  • id: 63754620
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [126, 39921840, 368046, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.80.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UH', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754621
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [40284721, 39921847, 121645100449111681, 378115344914630272, 5167, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UI', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754622
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UJ', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 1307714284921, 1405899965983569841, 7, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rnB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754623
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [126, 39921840, 368046, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rnC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UK', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754624
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UL', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39916927, 121645100449111681, 355693655121846, 6045378602895959, 6266937607, 1284610546815729841, 1307714284921], 'label': '20480.e.80.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ro1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UL', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754625
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UM', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39916927, 121645100449111681, 355693655121846, 6266937607, 1284254859387633840, 1307714284921, 6402373705727879], 'label': '20480.e.80.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UM', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754626
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UN', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6045378602895959, 5041, 39916927, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UN', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754627
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UO', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 39916927, 121645100449111681, 355693655121846, 1406255653411665840, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.rr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754628
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UP', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 362886, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rs1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UP', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754629
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UQ', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 39921840, 362886, 121645100449111681, 1284256173249105841, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UQ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754630
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100448748800, 5046, 126528479958586199, 127691786646184318, 121645100449111686, 122000794103870767, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.40.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '40.uB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.U', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754631
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UR', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 6045378562984199, 6266937607, 1307714284921, 39921966, 1285751428428879065, 355693655121846], 'label': '20480.e.80.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.CG', 'old_label': '80.ru1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UR', 'subgroup_fusion': None, 'weyl_group': '128.514'}
  • id: 63754632
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.US', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.rvB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.US', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754633
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UT', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 367927, 6266937607, 1307714284921, 363007, 39921840, 355693655121846], 'label': '20480.e.80.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rvC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UT', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754634
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UU', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.rw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UU', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754635
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UV', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 40284840, 121, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.80.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.rx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UV', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754636
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UW', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ry1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UW', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754637
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UX', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 368041, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.rzB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UX', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754638
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UY', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 367927, 1406255647184645041, 6266937607, 1307714284921, 363007, 39921840, 355693655121846], 'label': '20480.e.80.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.rzC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UY', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754639
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.UZ', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449111681, 121, 378115344914267512, 40284840, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.sa1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.UZ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754640
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 362881, 39921840, 368046, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.sb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VA', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63754641
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.V', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 5046, 122000787837295920, 355693655484727, 355693655484846, 122000794064311687, 2306727901744760880, 1307714284921, 1661992097422810318], 'label': '20480.e.40.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.D', 'old_label': '40.uC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.V', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754642
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VB', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [40284726, 39916927, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.sc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VB', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754643
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VC', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [40284726, 39916927, 121645100449111681, 355693655121846, 1406255653411665840, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.sd1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754644
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VD', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 1284254865614654641], 'label': '20480.e.80.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.se1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VD', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754645
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [40279687, 363000, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.sf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VE', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754646
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [40284721, 363007, 5046, 121645100449111681, 355693655121846, 6266937607, 378115351181562952, 1307714284921], 'label': '20480.e.80.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.sg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VF', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754647
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 39921840, 363007, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.sh1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754648
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363007, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.si1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VH', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 63754649
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VI', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 121645100449111681, 6046686237347159, 5167, 1284610553042750640, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.sj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VI', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754650
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 5167, 5041, 6266937607, 1307714284921, 1284254859387633840, 355693655121846], 'label': '20480.e.80.VJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.sk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VJ', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754651
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6046686237347159, 5167, 5041, 6266937607, 1307714284921, 1284610546815729841, 355693655121846], 'label': '20480.e.80.VK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.sl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754652
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5046, 122000794103870646, 4884687224485199, 127691786646184318, 121645100448748921, 121645100449111686, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.40.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '40.vB', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.W', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754653
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VL', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [7, 121645100449111681, 1284254865614654641, 6046686237347159, 5167, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.sm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VL', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754654
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VM', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6045378602895959, 1284254865614654641, 5167, 5041, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '80.sn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VM', 'subgroup_fusion': None, 'weyl_group': '256.14734'}
  • id: 63754655
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VN', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 4884687224485199, 5167, 6045378562984199, 5041, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.H', 'old_label': '80.so1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VN', 'subgroup_fusion': None, 'weyl_group': '128.560'}
  • id: 63754656
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VO', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 6046686237347159, 5167, 1284610553042750640, 5041, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.B', 'old_label': '80.sp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VO', 'subgroup_fusion': None, 'weyl_group': '256.1535'}
  • id: 63754657
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VP', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [6046686277268999, 121645100449111681, 4884687184205393, 5167, 5041, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.I', 'old_label': '80.sq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VP', 'subgroup_fusion': None, 'weyl_group': '128.853'}
  • id: 63754658
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 5167, 121645100449111681, 355693655121846, 6266937607, 1284611854450181041, 1307714284921], 'label': '20480.e.80.VQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.srB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VQ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754659
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VR', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 39921840, 367927, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.VR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.srC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VR', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754660
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VS', '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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 5167, 121645100449111681, 355693655121846, 6266937607, 6402367438422359, 1307714284921], 'label': '20480.e.80.VS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.ssB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VS', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754661
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 39921961, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.VT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.ssC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VT', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754662
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 121, 378115344914267512, 5041, 40284840, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.stB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VU', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754663
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.X', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [355693695033606, 122000794103870646, 1661992097422810318, 2306727901744760880, 122000787837295920, 355693655121841, 122000794103870767, 1307714284921, 122000794104228481], 'label': '20480.e.40.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.E', 'old_label': '40.vC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.X', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754664
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [378115344914267512, 362881, 40284840, 5041, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.VV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.stC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VV', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 63754665
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VW', '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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 39921840, 5167, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 1307714284921], 'label': '20480.e.80.VW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.suB', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VW', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754666
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449111681, 367927, 1284256173249105841, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.VX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.A', 'old_label': '80.suC', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VX', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754667
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [7, 121645100449111681, 6401066031354839, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.VY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.sv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VY', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754668
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.VZ', '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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [378115351141651192, 121645100449111681, 121, 5041, 40284840, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.VZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.sw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.VZ', 'subgroup_fusion': None, 'weyl_group': '128.850'}
  • id: 63754669
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WA', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.WA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.sx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WA', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754670
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WB', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.WB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.sy1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WB', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754671
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WC', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 5167, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.WC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.sz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WC', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754672
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WD', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1284256173249105841, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.WD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ta1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WD', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754673
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WE', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.80.WE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '80.tb1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754674
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.Y', '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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 6401066031354839, 355693655121846, 121645100449111686, 6266937607, 1307714284921], 'label': '20480.e.40.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.w1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.Y', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754675
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WF', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 6402367438422359, 1307714284921], 'label': '20480.e.80.WF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WF', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754676
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WG', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5167, 39921840, 121645100449111681, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.80.WG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.td1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WG', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754677
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WH', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 121, 1662349092525274318, 40284840, 6266937607, 1307714284921, 2306727907971781681, 355693655121846], 'label': '20480.e.80.WH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.M', 'old_label': '80.te1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WH', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754678
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WI', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 5167, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.WI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tf1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WI', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754679
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WJ', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 5167, 1406255647184645041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.WJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tg1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WJ', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754680
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WK', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 5167, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.80.WK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.th1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WK', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754681
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WL', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [121, 40284840, 121645100449111681, 355693655121846, 2306727901744760880, 6266937607, 1307714284921, 1540702684442074318], 'label': '20480.e.80.WL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.N', 'old_label': '80.ti1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WL', 'subgroup_fusion': None, 'weyl_group': '128.513'}
  • id: 63754682
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WM', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6401066031354839, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.WM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tj1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WM', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754683
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WN', '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': '1280.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 6401066031354839, 5167, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.80.WN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tk1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WN', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754684
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39921840, 362881, 1307714284921, 1405899965983569841, 5046, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.WO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tl1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WO', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754685
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111686, 355693655121846, 127690479011732999, 6266937607, 1307714284921], 'label': '20480.e.40.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.E', 'old_label': '40.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.Z', 'subgroup_fusion': None, 'weyl_group': '64.60'}
  • id: 63754686
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WP', '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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6401059803971159], 'label': '20480.e.80.WP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.tm1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WP', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754687
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [378115344914267512, 362881, 39921840, 363000, 121645100449111681, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.WQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tn1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WQ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754688
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 362881, 39921840, 121645100449111681, 1284256173249105841, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.WR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.to1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WR', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754689
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WS', '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': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5046, 39921840, 121, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.80.WS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.tp1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WS', 'subgroup_fusion': None, 'weyl_group': '128.621'}
  • id: 63754690
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [363000, 362881, 39921840, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.80.WT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tq1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WT', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754691
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WU', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1405901273697854641, 1307714284921], 'label': '20480.e.80.WU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.tr1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WU', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754692
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WV', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [368046, 39921840, 121645100449111681, 355693655121846, 1284256173249105841, 6401066031354839, 6266937607, 1307714284921], 'label': '20480.e.80.WV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ts1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WV', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754693
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WW', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 1406255647184645041], 'label': '20480.e.80.WW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tt1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WW', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754694
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WX', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 1307714284921], 'label': '20480.e.80.WX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tu1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WX', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754695
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WY', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 40284840, 121, 121645100449111681, 355693655121846, 6266937607, 378115351181562952, 1307714284921], 'label': '20480.e.80.WY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tv1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WY', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754696
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 362881, 5046, 121645100449111681, 378116652588998278, 6267300607, 6227025847, 1307714284921, 355687468017841], 'label': '20480.e.40.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BA', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754697
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.WZ', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [368046, 362881, 39921840, 121645100449111681, 355693655121846, 6266937607, 1307714284921, 6402373665806039], 'label': '20480.e.80.WZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tw1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.WZ', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754698
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XA', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1307714284921, 1405899965983569841, 355693655121846, 6266937607, 121645100449111681], 'label': '20480.e.80.XA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.tx1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XA', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754699
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XB', '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': '1280.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5046, 40284840, 121, 121645100449111681, 355693655121846, 6266937607, 378115351141651192, 1307714284921], 'label': '20480.e.80.XB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.ty1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XB', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 63754700
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XC', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [362886, 39916927, 121645100449111681, 355693655121846, 1406255653411665840, 6045378602895959, 6266937607, 1307714284921], 'label': '20480.e.80.XC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.tz1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754701
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XD', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 6045378602895959, 362886, 39916927, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.XD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ua1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XD', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754702
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XE', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [40279687, 363000, 121645100449111681, 355693655121846, 1406255653411665840, 6266937607, 1307714284921, 6402373705727879], 'label': '20480.e.80.XE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.ub1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754703
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '80.XF', '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': '1280.A', 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1405899965983569841, 6402373705727879, 121645100449111681, 40279687, 363000, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.80.XF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '80.uc1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.XF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754704
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [121645100449111681, 514057631208739176, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.128.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '128.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.A', 'subgroup_fusion': None, 'weyl_group': '320.1635'}
  • id: 63754705
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [122000794103870646, 355693655121841, 514057631208739176, 6267300607, 357001329484927, 122000794104228481], 'label': '20480.e.128.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '128.b1', 'projective_image': '10240.l', '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': '320.1635'}
  • id: 63754706
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1307714647800, 122002101778596606, 514057631208739176, 121646414350505641, 122000794103870767, 121646414350500600], 'label': '20480.e.128.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.E', 'old_label': '128.c1', 'projective_image': '10240.l', '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': '160.234'}
  • id: 63754707
    {'ambient': '20480.e', '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': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5046, 362881, 39921840, 363000, 121645100449111681, 6401066031354839, 355693655121846, 6266937607, 4884687224485199, 1307714284921, 514057631208739176], 'label': '20480.e.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.e1', 'projective_image': '20480.e', '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': '4000.fv'}
  • id: 63754708
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 362881, 5046, 121645100449111681, 6227025847, 6267300607, 378115351141651192, 1307714284921, 355687468017841], 'label': '20480.e.40.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BB', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754709
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10240.A', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [356995102469167, 122002095511659001, 514057631208739176, 357001369401721, 355693655484846, 122000787836933041], 'label': '20480.e.128.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '128.D', 'old_label': '128.d1', 'projective_image': '10240.l', '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': '80.49'}
  • id: 63754710
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [121645100449111681, 2305211535431481721, 514058938883464896, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.128.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '128.e1', 'projective_image': '20480.e', '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': '160.234'}
  • id: 63754711
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [121645100449111681, 355693655121846, 6266937607, 6046680050243159, 1307714284921, 514058945070211056], 'label': '20480.e.128.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '128.f1', 'projective_image': '20480.e', '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': '320.1635'}
  • id: 63754712
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [121645100449111681, 514057637436122856, 378115344954179272, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.128.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.A', 'old_label': '128.g1', 'projective_image': '20480.e', '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': '160.234'}
  • id: 63754713
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [121645100448748800, 5046, 121646408083200000, 513701943740721337, 128046160212803153, 39921840], 'label': '20480.e.128.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '128.h1', 'projective_image': '20480.e', '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': '320.1635'}
  • id: 63754714
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [355693655484727, 121646414350137607, 6401066031354839, 121645100449116727, 514057631208739176, 1313941310766], 'label': '20480.e.128.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.C', 'old_label': '128.i1', 'projective_image': '20480.e', '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': '320.1635'}
  • id: 63754715
    {'ambient': '20480.e', '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': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20480.a1', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [256471558406824192, 1307714647800, 122002101778596606, 121646414350505641, 122000794103870767, 635704039292301936], 'label': '20480.e.128.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.E', 'old_label': '128.j1', 'projective_image': '20480.e', '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': '160.234'}
  • id: 63754716
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '320.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '320.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '320.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [121645100449111681, 6266937607, 1307714284921, 39916801, 1284610546815729841, 355693655121846], 'label': '20480.e.320.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '320.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.A', 'subgroup_fusion': None, 'weyl_group': '320.1635'}
  • id: 63754717
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '640.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '640.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [121645100449111681, 6266937607, 1307714284921, 39916801, 355693655121846], 'label': '20480.e.640.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '640.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '640.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '640.A', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 63754718
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '1280.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [121645100449111681, 6266937607, 1307714284921, 355693655121846], 'label': '20480.e.1280.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1280.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1280.a1.N', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1280.A', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 63754719
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.BC', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 368046, 1313901388926, 1406256954898929960, 121645100449111681, 6401066031354839, 357001369406767], 'label': '20480.e.40.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.ba1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BC', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754720
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '4096.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': '20480.a1', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [1027760888850796921], 'label': '20480.e.4096.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.a1', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 63754721
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '10240.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': '10240.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122002101778601647], 'label': '20480.e.10240.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10240.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10240.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10240.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754722
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '20480.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': '20480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '20480.e.20480.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20480.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20480.a1.N', 'projective_image': '20480.e', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63754723
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [39921840, 368046, 362881, 1406255647184645041, 5041, 6401066031354839, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.40.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.bb1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BD', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754724
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.BE', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714652727, 39921840, 362881, 1406255647184645041, 5041, 6045372376243073, 357001369406767, 121645100449111681, 1313901388926], 'label': '20480.e.40.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.bc1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BE', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754725
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.BF', '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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5041, 362881, 39921840, 1313901388926, 1406256954898929960, 121645100449111681, 6401066031354839, 1307714652727, 357001369406767], 'label': '20480.e.40.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.P', 'old_label': '40.bd1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BF', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754726
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 5046, 377760971387918032, 121645100409199921, 121645100448748921, 355693655121846, 121645106636215686, 1307714284921], 'label': '20480.e.40.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BG', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754727
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [7, 362881, 5046, 121645100448748921, 121645100409199921, 355693655121846, 121645106636215686, 378115351141651192, 1307714284921], 'label': '20480.e.40.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.U', 'old_label': '40.bf1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BH', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754728
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 1307714647800, 121645100449111681, 6401066031354839, 1307714284926, 1307714647681, 1313901388926, 357001369406767, 39921840], 'label': '20480.e.40.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '40.bg1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BI', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754729
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '10240.A', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1307714289967, 1307714647800, 121645100449111681, 1307714284926, 1307714647681, 1313901388926, 6045372376243073, 357001369406767, 39921840], 'label': '20480.e.40.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.T', 'old_label': '40.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BJ', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 63754730
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [7, 121645100449111681, 1284256173249105841, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.40.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BK', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754731
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [4884687224485199, 39921840, 362881, 1307714284921, 7, 5046, 363000, 355693655121846, 6266937607, 1407752210038786271, 6401066031354839, 121645100449111681], 'label': '20480.e.5.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 63754732
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [6402367438422359, 121645100449111681, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bj1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BL', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754733
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [121645100449111681, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bk1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BM', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754734
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '320.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [121645100449111681, 6401066031354839, 1284256173249105841, 5167, 5041, 6266937607, 1307714284921, 39921840, 355693655121846], 'label': '20480.e.40.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.bl1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BN', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754735
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [1284611854450181041, 7, 121645100449111681, 39921961, 5167, 6266937607, 1307714284921, 6401059803971159, 355693655121846], 'label': '20480.e.40.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.J', 'old_label': '40.bm1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BO', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 63754736
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 121645100449111681, 355693655121846, 1405899965983569841, 6266937607, 6402367438422359, 1307714284921], 'label': '20480.e.40.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BP', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754737
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [5167, 39921840, 5041, 121645100449111681, 355693655121846, 6266937607, 6402367438422359, 1284611854450181041, 1307714284921], 'label': '20480.e.40.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bo1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BQ', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754738
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.BR', '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': '640.A', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [121, 39916801, 2306727907971781681, 40284840, 121645100449111681, 355693655121846, 1540348304688346318, 6266937607, 1307714284921], 'label': '20480.e.40.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.A', 'old_label': '40.bp1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BR', 'subgroup_fusion': None, 'weyl_group': '256.14764'}
  • id: 63754739
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1284611854450181041, 121645100449111681, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.bq1', 'projective_image': '10240.l', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BS', 'subgroup_fusion': None, 'weyl_group': '512.46912'}
  • id: 63754740
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5167, 39921840, 5041, 121645100449111681, 355693655121846, 6401066031354839, 6266937607, 1307714284921, 1406255647184645041], 'label': '20480.e.40.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BT', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 63754741
    {'ambient': '20480.e', 'aut_centralizer_order': None, 'aut_label': '40.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': '640.A', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1405899965983569841, 121645100449111681, 5167, 5041, 6266937607, 1307714284921, 6401059803971159, 39921840, 355693655121846], 'label': '20480.e.40.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '40.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.BU', 'subgroup_fusion': None, 'weyl_group': '256.8935'}