Abstract group data - 40960.yn

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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': '5.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[313460272251360901358098754956414257562671415687, 564694691551304621991399505767622808564823335742, 355372463153091971261616685633664903696335504680], [313460272251360901358098754956414257562671415687, 502441257576415405234848722460777486331512835199, 355372473494931478105212248527011615592183068238], [313460261926896252590765845704493434239620204800, 628023197155521142829828555320619292030078854542, 355372473494897480321681864277247553311956196432], [293076153923262907183143535712662553162362526646, 522839139648963519927334459880700207373530458872, 355358709733139949093995127501350238939589843223], [209335981818487028352272236886488178445820362937, 586195183101168532999087402978178948389339722832, 355358709733097746155319121616531821512338643216], [251234355458214724176968698043097718736544145936, 502441257576474602028365974456202630548294216296, 355358709733131735097102969170251565276256062727], [167480429916120681815577389732435088620850391680, 628036960917253474991486370709297897445155438079, 439112635275242735924509621697490241295161865038], [271618484110836546218346003972102557355797754953, 648421089569875297054641173399822564779814109366, 480954465929341117925528538376527461587989797176], [293076143598807039527607950483620530065314941382, 628023197155512911149412249687917986838230858953, 460556573514944734191600560865692599850928193782], [187878322330449115410823269442887363631369974352, 522852903410712306618951599909734297972342748743, 480940691843084948999598377183105650420124225279], [313460272251360901358098780757461343688919356840, 564694691551304621991399505767622807263415547377, 355372463153100185269382228057155695890383499527], [313460272251360901358098754956414256261263627560, 544283035375184668282756091885968797079735542462, 355372463153091971261616711434711988508722331560], [293076143598798249584937288448450590180399415687, 564694691551312853660911270866695125255718183742, 355372463153100185269382228057155694576522395560], [293076143598790035577171771826006882811191563560, 544283035375192899952267882888026794039479547377, 334960827660642799570652446499840749555663504680], [313460272251360901358098754956414257562671415687, 564694691551304621991399505767622808564823335742, 355372463153091971261616685633664903696335504680], [313460272251360901358098754956414257562671415687, 564694691551304621991399479864637126994566390462, 334960827660634585562886904076349957361615499527], [313460272251360901358098754956414257562671415687, 544283035375184668282756091885968798381143340657, 355372463153100185269382228057155694576522395560], [313460272251360901358098754956414257562671415687, 544283035375184668282756065982983118112294183742, 355372463153100185269382228057155695890383499527], [313460272251360901358098754956414257562671415687, 564694691551312853660911270866695125255718183742, 355372463153091971261616711434711989822583435527], [313460272251360901358098754956414257562671415687, 544283035375192899952267882888026795340887335742, 334960827660642799570652446499840748241802390407], [313460272251360901358098754956414257562671415687, 564694691551312853660911270866695125255718183742, 334960827660642799570652472300887834368050331560], [313460272251360901358098754956414257562671415687, 564694691551304621991399505767622807263415547377, 355372463153100185269382253858202780702770326407], [313460272251360901358098754956414257562671415687, 544283035375192899952267856985041115072038188657, 355372463153091971261616711434711988508722331560]], 'aut_group': '37056.x', 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 5242880, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 320.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 5, 1, 6], [2, 80, 2, 1], [2, 160, 1, 3], [4, 40, 4, 1], [4, 80, 2, 17], [4, 160, 1, 29], [5, 4096, 1, 4], [10, 4096, 1, 4]], 'aut_supersolvable': None, 'aut_tex': 'C_{2316}:C_{16}', 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 5, 6], [2, 80, 2], [2, 160, 3], [4, 40, 4], [4, 80, 34], [4, 160, 29], [5, 4096, 4], [10, 4096, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 14, 'conjugacy_classes_known': True, 'counter': 638, '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, 6], [2, 80, 1, 2], [2, 160, 1, 3], [4, 40, 1, 4], [4, 80, 1, 26], [4, 80, 2, 4], [4, 160, 1, 29], [5, 4096, 4, 1], [10, 4096, 4, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 20, 'exponents_of_order': [13, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[20, 1, 16], [80, -1, 1], [80, 1, 1]], 'familial': False, 'frattini_label': '32.51', 'frattini_quotient': '1280.1116356', 'hash': 8847484603858943384, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [5, 5, 5], 'inner_gens': [[313460272251360901358098754956414257562671415687, 502441257576415405234848722460777486331512835199, 355372473494931478105212248527011615592183068238], [167494204002342898397229277779580364091464750783, 564694691551304621991399505767622808564823335742, 460542809753187166433354714658912460966170618942], [251220602038280217539841306905076902415134632193, 586181419356743656954155931589415005965044444742, 355372463153091971261616685633664903696335504680]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 20480, 'inner_split': None, 'inner_tex': None, 'inner_used': None, 'irrC_degree': 20, 'irrQ_degree': 20, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 5], [5, 51], [16, 5], [20, 16], [40, 8], [80, 3]], 'label': '40960.yn', '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': 'C2^5.C2^8:C5', 'ngens': 3, '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, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 67, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 88, 'number_divisions': 78, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 40960, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 671], [4, 7520], [5, 16384], [10, 16384]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '256.56092', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 256, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^8', 'pc_rank': None, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 1], [4, 1], [5, 51], [16, 1], [20, 16], [64, 1], [80, 7]], 'representations': {'PC': {'code': '5386444918898174476241318223464861099340650230060183451209225435121504362023298062071559199851368400130966346318328489631233158769384356162532869210427574524886912779506219227766198974368081732492061821488439968260195775755424960832090031577133872353604309876736', 'gens': [1, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14], 'pres': [14, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 512960, 495181, 172943, 1699742, 173476, 3390, 698043, 7409, 172175, 59181, 1364654, 143938, 216472, 38266, 1460, 845, 517459, 222465, 110591, 33829, 243, 78406, 4520887, 713237, 405027, 149681, 17087, 43533, 329, 645128, 4483509, 609303, 304677, 225171, 40945, 29199, 11867, 6193120, 872280, 364710, 182388, 130658, 16096, 6268, 1060, 458, 3548171, 2009292, 31373]}, 'Perm': {'d': 40, 'gens': [564694691551304621991399505767622808564823335742, 313460272251360901358098754956414257562671415687, 355372463153091971261616685633664903696335504680]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [5], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 16, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^5.C_2^8:C_5', 'transitive_degree': 40, '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: 161824423
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 638, 'group_order': 40960, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 161824434
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 638, 'group_order': 40960, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 20411656176128185399963992107865056595392681647, 'size': 1}
  • id: 161824445
    {'aut_label': '2B', 'centralizer': '5.a1', 'counter': 3, 'group_counter': 638, 'group_order': 40960, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 5167, 'size': 5}
  • id: 161824456
    {'aut_label': '2C', 'centralizer': '5.a1', 'counter': 4, 'group_counter': 638, 'group_order': 40960, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 1313941673647, 'size': 5}
  • id: 161824467
    {'aut_label': '2D', 'centralizer': '5.a1', 'counter': 5, 'group_counter': 638, 'group_order': 40960, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 25903229683158464681647, 'size': 5}
  • id: 161824478
    {'aut_label': '2E', 'centralizer': '5.a1', 'counter': 6, 'group_counter': 638, 'group_order': 40960, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 8231691320552322981364567189668480, 'size': 5}
  • id: 161824489
    {'aut_label': '2F', 'centralizer': '5.a1', 'counter': 7, 'group_counter': 638, 'group_order': 40960, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 8231691320578226211046411712676480, 'size': 5}
  • id: 161824500
    {'aut_label': '2G', 'centralizer': '5.a1', 'counter': 8, 'group_counter': 638, 'group_order': 40960, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 8231691320578226211046411712681647, 'size': 5}
  • id: 161824510
    {'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 638, 'group_order': 40960, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 33988952657313861290708453797231296, 'size': 80}
  • id: 161824424
    {'aut_label': '2H', 'centralizer': None, 'counter': 10, 'group_counter': 638, 'group_order': 40960, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 10341839515696277530555607172427242086407, 'size': 80}
  • id: 161824425
    {'aut_label': '2J', 'centralizer': None, 'counter': 11, 'group_counter': 638, 'group_order': 40960, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 10341831284015861358944300082388923717143, 'size': 160}
  • id: 161824426
    {'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 638, 'group_order': 40960, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 13763761791520180374939138817135249384796752, 'size': 160}
  • id: 161824427
    {'aut_label': '2L', 'centralizer': None, 'counter': 13, 'group_counter': 638, 'group_order': 40960, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 13774086290166742111886818820852176901457337, 'size': 160}
  • id: 161824428
    {'aut_label': '4A', 'centralizer': None, 'counter': 14, 'group_counter': 638, 'group_order': 40960, 'label': '4A', 'order': 4, 'powers': [3, 14], 'representative': 162070456271643319663303, 'size': 40}
  • id: 161824429
    {'aut_label': '4A', 'centralizer': None, 'counter': 15, 'group_counter': 638, 'group_order': 40960, 'label': '4B', 'order': 4, 'powers': [3, 15], 'representative': 8231691320714393437634896567663303, 'size': 40}
  • id: 161824430
    {'aut_label': '4A', 'centralizer': None, 'counter': 16, 'group_counter': 638, 'group_order': 40960, 'label': '4C', 'order': 4, 'powers': [3, 16], 'representative': 33988952657475931746981410977956487, 'size': 40}
  • id: 161824431
    {'aut_label': '4A', 'centralizer': None, 'counter': 17, 'group_counter': 638, 'group_order': 40960, 'label': '4D', 'order': 4, 'powers': [3, 17], 'representative': 10341839515696277394388380582628526037696, 'size': 40}
  • id: 161824432
    {'aut_label': '4E', 'centralizer': None, 'counter': 18, 'group_counter': 638, 'group_order': 40960, 'label': '4E', 'order': 4, 'powers': [3, 18], 'representative': 10904380711674273214929630736, 'size': 80}
  • id: 161824433
    {'aut_label': '4F', 'centralizer': None, 'counter': 19, 'group_counter': 638, 'group_order': 40960, 'label': '4F', 'order': 4, 'powers': [4, 19], 'representative': 10904542782130544858169460439, 'size': 80}
  • id: 161824435
    {'aut_label': '4G', 'centralizer': None, 'counter': 20, 'group_counter': 638, 'group_order': 40960, 'label': '4G', 'order': 4, 'powers': [3, 20], 'representative': 8841777558902036319409272801358, 'size': 80}
  • id: 161824436
    {'aut_label': '4H', 'centralizer': None, 'counter': 21, 'group_counter': 638, 'group_order': 40960, 'label': '4H', 'order': 4, 'powers': [3, 21], 'representative': 8841777613067910534505716338057, 'size': 80}
  • id: 161824437
    {'aut_label': '4I', 'centralizer': None, 'counter': 22, 'group_counter': 638, 'group_order': 40960, 'label': '4I', 'order': 4, 'powers': [5, 22], 'representative': 8852650917193623930652154575422, 'size': 80}
  • id: 161824438
    {'aut_label': '4J', 'centralizer': None, 'counter': 23, 'group_counter': 638, 'group_order': 40960, 'label': '4J', 'order': 4, 'powers': [3, 23], 'representative': 8852650971359498145748677945721, 'size': 80}
  • id: 161824439
    {'aut_label': '4K', 'centralizer': None, 'counter': 24, 'group_counter': 638, 'group_order': 40960, 'label': '4K', 'order': 4, 'powers': [6, 24], 'representative': 33988963561694572721691467829364432, 'size': 80}
  • id: 161824440
    {'aut_label': '4L', 'centralizer': None, 'counter': 25, 'group_counter': 638, 'group_order': 40960, 'label': '4L', 'order': 4, 'powers': [7, 25], 'representative': 33988963561856643177963111148254743, 'size': 80}
  • id: 161824441
    {'aut_label': '4M', 'centralizer': None, 'counter': 26, 'group_counter': 638, 'group_order': 40960, 'label': '4M', 'order': 4, 'powers': [3, 26], 'representative': 33997794434872763327027862989426062, 'size': 80}
  • id: 161824442
    {'aut_label': '4N', 'centralizer': None, 'counter': 27, 'group_counter': 638, 'group_order': 40960, 'label': '4N', 'order': 4, 'powers': [5, 27], 'representative': 33997794434926929201242959513569353, 'size': 80}
  • id: 161824443
    {'aut_label': '4O', 'centralizer': None, 'counter': 28, 'group_counter': 638, 'group_order': 40960, 'label': '4O', 'order': 4, 'powers': [4, 28], 'representative': 33997805308231054671348905133369726, 'size': 80}
  • id: 161824444
    {'aut_label': '4P', 'centralizer': None, 'counter': 29, 'group_counter': 638, 'group_order': 40960, 'label': '4P', 'order': 4, 'powers': [6, 29], 'representative': 33997805308285220545564001577679417, 'size': 80}
  • id: 161824446
    {'aut_label': '4E', 'centralizer': None, 'counter': 30, 'group_counter': 638, 'group_order': 40960, 'label': '4Q', 'order': 4, 'powers': [3, 30], 'representative': 10341831292846734375064205847041419440142, 'size': 80}
  • id: 161824447
    {'aut_label': '4F', 'centralizer': None, 'counter': 31, 'group_counter': 638, 'group_order': 40960, 'label': '4R', 'order': 4, 'powers': [4, 31], 'representative': 10341865281799391743091370770591660208137, 'size': 80}
  • id: 161824448
    {'aut_label': '4I', 'centralizer': None, 'counter': 32, 'group_counter': 638, 'group_order': 40960, 'label': '4S', 'order': 4, 'powers': [5, 32], 'representative': 13763761791529011248171597235270985062599753, 'size': 80}
  • id: 161824449
    {'aut_label': '4K', 'centralizer': None, 'counter': 33, 'group_counter': 638, 'group_order': 40960, 'label': '4T', 'order': 4, 'powers': [6, 33], 'representative': 13763761825509122127872390614743456815043247, 'size': 80}
  • id: 161824450
    {'aut_label': '4J', 'centralizer': None, 'counter': 34, 'group_counter': 638, 'group_order': 40960, 'label': '4U', 'order': 4, 'powers': [3, 34], 'representative': 13763761825517963905323388068996420683975758, 'size': 80}
  • id: 161824451
    {'aut_label': '4O', 'centralizer': None, 'counter': 35, 'group_counter': 638, 'group_order': 40960, 'label': '4V', 'order': 4, 'powers': [4, 35], 'representative': 13763761825517974778707480461113649990378942, 'size': 80}
  • id: 161824452
    {'aut_label': '4W', 'centralizer': None, 'counter': 36, 'group_counter': 638, 'group_order': 40960, 'label': '4W', 'order': 4, 'powers': [3, 36], 'representative': 13763761825517974778843647687703448707153401, 'size': 80}
  • id: 161824453
    {'aut_label': '4W', 'centralizer': None, 'counter': 37, 'group_counter': 638, 'group_order': 40960, 'label': '4X', 'order': 4, 'powers': [3, 37], 'representative': 13763761825517974778843647687703448707158326, 'size': 80}
  • id: 161824454
    {'aut_label': '4G', 'centralizer': None, 'counter': 38, 'group_counter': 638, 'group_order': 40960, 'label': '4Y', 'order': 4, 'powers': [3, 38], 'representative': 13774086256168936803655866332100303984828103, 'size': 80}
  • id: 161824455
    {'aut_label': '4H', 'centralizer': None, 'counter': 39, 'group_counter': 638, 'group_order': 40960, 'label': '4Z', 'order': 4, 'powers': [3, 39], 'representative': 13774086290157889460915561747882286401724096, 'size': 80}
  • id: 161824457
    {'aut_label': '4L', 'centralizer': None, 'counter': 40, 'group_counter': 638, 'group_order': 40960, 'label': '4AA', 'order': 4, 'powers': [7, 40], 'representative': 20411656176153942672205270524831973294828254743, 'size': 80}
  • id: 161824458
    {'aut_label': '4M', 'centralizer': None, 'counter': 41, 'group_counter': 638, 'group_order': 40960, 'label': '4AB', 'order': 4, 'powers': [3, 41], 'representative': 20411656176153951503078286644981038046669426062, 'size': 80}
  • id: 161824459
    {'aut_label': '4N', 'centralizer': None, 'counter': 42, 'group_counter': 638, 'group_order': 40960, 'label': '4AC', 'order': 4, 'powers': [5, 42], 'representative': 20411656176153951503078340810855253143193569353, 'size': 80}
  • id: 161824460
    {'aut_label': '4P', 'centralizer': None, 'counter': 43, 'group_counter': 638, 'group_order': 40960, 'label': '4AD', 'order': 4, 'powers': [6, 43], 'representative': 20411656176153951513951699102199574185257679417, 'size': 80}
  • id: 161824461
    {'aut_label': '4AE1', 'centralizer': None, 'counter': 44, 'group_counter': 638, 'group_order': 40960, 'label': '4AE1', 'order': 4, 'powers': [3, 44], 'representative': 10341865272968518510734891228998583621136, 'size': 80}
  • id: 161824462
    {'aut_label': '4AE1', 'centralizer': None, 'counter': 45, 'group_counter': 638, 'group_order': 40960, 'label': '4AE-1', 'order': 4, 'powers': [3, 45], 'representative': 10341865272968518510734891228998583626303, 'size': 80}
  • id: 161824463
    {'aut_label': '4AF1', 'centralizer': None, 'counter': 46, 'group_counter': 638, 'group_order': 40960, 'label': '4AF1', 'order': 4, 'powers': [3, 46], 'representative': 13774086256168947707982309950272765030492816, 'size': 80}
  • id: 161824464
    {'aut_label': '4AF1', 'centralizer': None, 'counter': 47, 'group_counter': 638, 'group_order': 40960, 'label': '4AF-1', 'order': 4, 'powers': [3, 47], 'representative': 13774086256168947707982309950274066517393936, 'size': 80}
  • id: 161824465
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 48, 'group_counter': 638, 'group_order': 40960, 'label': '4AG1', 'order': 4, 'powers': [6, 48], 'representative': 13774086290157900365350336871194739597404823, 'size': 80}
  • id: 161824466
    {'aut_label': '4AG1', 'centralizer': None, 'counter': 49, 'group_counter': 638, 'group_order': 40960, 'label': '4AG-1', 'order': 4, 'powers': [6, 49], 'representative': 13774086290157900365350336871196041084305943, 'size': 80}
  • id: 161824468
    {'aut_label': '4AH1', 'centralizer': None, 'counter': 50, 'group_counter': 638, 'group_order': 40960, 'label': '4AH1', 'order': 4, 'powers': [4, 50], 'representative': 41855594415898161550591848360724857894589050832, 'size': 80}
  • id: 161824469
    {'aut_label': '4AH1', 'centralizer': None, 'counter': 51, 'group_counter': 638, 'group_order': 40960, 'label': '4AH-1', 'order': 4, 'powers': [4, 51], 'representative': 41855594415898161550591848360724857894589055999, 'size': 80}
  • id: 161824470
    {'aut_label': '4AI', 'centralizer': None, 'counter': 52, 'group_counter': 638, 'group_order': 40960, 'label': '4AI', 'order': 4, 'powers': [3, 52], 'representative': 10341831284015861196873843810745604826832, 'size': 160}
  • id: 161824471
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 53, 'group_counter': 638, 'group_order': 40960, 'label': '4AJ', 'order': 4, 'powers': [6, 53], 'representative': 10341831292857607733355793456970439379326, 'size': 160}
  • id: 161824472
    {'aut_label': '4AK', 'centralizer': None, 'counter': 54, 'group_counter': 638, 'group_order': 40960, 'label': '4AK', 'order': 4, 'powers': [6, 54], 'representative': 10341831292857607787521667672066883689017, 'size': 160}
  • id: 161824473
    {'aut_label': '4AL', 'centralizer': None, 'counter': 55, 'group_counter': 638, 'group_order': 40960, 'label': '4AL', 'order': 4, 'powers': [5, 55], 'representative': 10341865272957614292093916517627791317703, 'size': 160}
  • id: 161824474
    {'aut_label': '4AM', 'centralizer': None, 'counter': 56, 'group_counter': 638, 'group_order': 40960, 'label': '4AM', 'order': 4, 'powers': [8, 56], 'representative': 10341865272968518672805347500641823450839, 'size': 160}
  • id: 161824475
    {'aut_label': '4AN', 'centralizer': None, 'counter': 57, 'group_counter': 638, 'group_order': 40960, 'label': '4AN', 'order': 4, 'powers': [8, 57], 'representative': 10341865281810265047216840875223339113022, 'size': 160}
  • id: 161824476
    {'aut_label': '4AO', 'centralizer': None, 'counter': 58, 'group_counter': 638, 'group_order': 40960, 'label': '4AO', 'order': 4, 'powers': [6, 58], 'representative': 10341865281810265101382715090319862483321, 'size': 160}
  • id: 161824477
    {'aut_label': '4AP', 'centralizer': None, 'counter': 59, 'group_counter': 638, 'group_order': 40960, 'label': '4AP', 'order': 4, 'powers': [3, 59], 'representative': 13763761791520169470558529324746377874046016, 'size': 160}
  • id: 161824479
    {'aut_label': '4AQ', 'centralizer': None, 'counter': 60, 'group_counter': 638, 'group_order': 40960, 'label': '4AQ', 'order': 4, 'powers': [6, 60], 'representative': 13763761791520180374993304691350345829059223, 'size': 160}
  • id: 161824480
    {'aut_label': '4AR', 'centralizer': None, 'counter': 61, 'group_counter': 638, 'group_order': 40960, 'label': '4AR', 'order': 4, 'powers': [7, 61], 'representative': 13763761791529022121529786640996570663658937, 'size': 160}
  • id: 161824481
    {'aut_label': '4AS', 'centralizer': None, 'counter': 62, 'group_counter': 638, 'group_order': 40960, 'label': '4AS', 'order': 4, 'powers': [4, 62], 'representative': 13763761825509122127926556488958553258622023, 'size': 160}
  • id: 161824482
    {'aut_label': '4AT', 'centralizer': None, 'counter': 63, 'group_counter': 638, 'group_order': 40960, 'label': '4AT', 'order': 4, 'powers': [6, 63], 'representative': 13763761825509133032252999863842127428291216, 'size': 160}
  • id: 161824483
    {'aut_label': '4AU', 'centralizer': None, 'counter': 64, 'group_counter': 638, 'group_order': 40960, 'label': '4AU', 'order': 4, 'powers': [6, 64], 'representative': 13763761825509133032307165738057223951708759, 'size': 160}
  • id: 161824484
    {'aut_label': '4AV', 'centralizer': None, 'counter': 65, 'group_counter': 638, 'group_order': 40960, 'label': '4AV', 'order': 4, 'powers': [5, 65], 'representative': 13774086256168947708036475824487861553910359, 'size': 160}
  • id: 161824485
    {'aut_label': '4AW', 'centralizer': None, 'counter': 66, 'group_counter': 638, 'group_order': 40960, 'label': '4AW', 'order': 4, 'powers': [8, 66], 'representative': 13774086256177778581214768368418399315913737, 'size': 160}
  • id: 161824486
    {'aut_label': '4AX', 'centralizer': None, 'counter': 67, 'group_counter': 638, 'group_order': 40960, 'label': '4AX', 'order': 4, 'powers': [7, 67], 'representative': 13774086256177789454572957774145298778807801, 'size': 160}
  • id: 161824487
    {'aut_label': '4AY', 'centralizer': None, 'counter': 68, 'group_counter': 638, 'group_order': 40960, 'label': '4AY', 'order': 4, 'powers': [6, 68], 'representative': 13774086290157900365296170996979643153142352, 'size': 160}
  • id: 161824488
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 69, 'group_counter': 638, 'group_order': 40960, 'label': '4AZ', 'order': 4, 'powers': [6, 69], 'representative': 13774086290166731238528629658415478176393673, 'size': 160}
  • id: 161824490
    {'aut_label': '4BA', 'centralizer': None, 'counter': 70, 'group_counter': 638, 'group_order': 40960, 'label': '4BA', 'order': 4, 'powers': [3, 70], 'representative': 41841830654106595997911075010892100906407191737, 'size': 160}
  • id: 161824491
    {'aut_label': '4BB', 'centralizer': None, 'counter': 71, 'group_counter': 638, 'group_order': 40960, 'label': '4BB', 'order': 4, 'powers': [4, 71], 'representative': 41841830654106596008815455620141193997515459273, 'size': 160}
  • id: 161824492
    {'aut_label': '4BC', 'centralizer': None, 'counter': 72, 'group_counter': 638, 'group_order': 40960, 'label': '4BC', 'order': 4, 'powers': [3, 72], 'representative': 41841830654106596008815509786015409093959721742, 'size': 160}
  • id: 161824493
    {'aut_label': '4BD', 'centralizer': None, 'counter': 73, 'group_counter': 638, 'group_order': 40960, 'label': '4BD', 'order': 4, 'powers': [3, 73], 'representative': 41841830654140584950568443037813734255830295742, 'size': 160}
  • id: 161824494
    {'aut_label': '4BE', 'centralizer': None, 'counter': 74, 'group_counter': 638, 'group_order': 40960, 'label': '4BE', 'order': 4, 'powers': [6, 74], 'representative': 41841830654140584961472769481431902451232809737, 'size': 160}
  • id: 161824495
    {'aut_label': '4BF', 'centralizer': None, 'counter': 75, 'group_counter': 638, 'group_order': 40960, 'label': '4BF', 'order': 4, 'powers': [7, 75], 'representative': 41841830654140584961472823647306117547756227278, 'size': 160}
  • id: 161824496
    {'aut_label': '4BG', 'centralizer': None, 'counter': 76, 'group_counter': 638, 'group_order': 40960, 'label': '4BG', 'order': 4, 'powers': [4, 76], 'representative': 41841840995971877797302818102019579983308067152, 'size': 160}
  • id: 161824497
    {'aut_label': '4BH', 'centralizer': None, 'counter': 77, 'group_counter': 638, 'group_order': 40960, 'label': '4BH', 'order': 4, 'powers': [6, 77], 'representative': 41841840995971877808176176291425301303265975616, 'size': 160}
  • id: 161824498
    {'aut_label': '4BI', 'centralizer': None, 'counter': 78, 'group_counter': 638, 'group_order': 40960, 'label': '4BI', 'order': 4, 'powers': [5, 78], 'representative': 41855594415898161561465206652312463557886005696, 'size': 160}
  • id: 161824499
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 79, 'group_counter': 638, 'group_order': 40960, 'label': '4BJ', 'order': 4, 'powers': [5, 79], 'representative': 41855604740362801476147440534403743760306799422, 'size': 160}
  • id: 161824501
    {'aut_label': '4BK', 'centralizer': None, 'counter': 80, 'group_counter': 638, 'group_order': 40960, 'label': '4BK', 'order': 4, 'powers': [4, 80], 'representative': 41855604740362801487051821246078011395571777358, 'size': 160}
  • id: 161824502
    {'aut_label': '5A1', 'centralizer': None, 'counter': 81, 'group_counter': 638, 'group_order': 40960, 'label': '5A1', 'order': 5, 'powers': [83, 1], 'representative': 711763444034687998077035431485947796011656142783, 'size': 4096}
  • id: 161824503
    {'aut_label': '5A-1', 'centralizer': None, 'counter': 82, 'group_counter': 638, 'group_order': 40960, 'label': '5A-1', 'order': 5, 'powers': [84, 1], 'representative': 439098871513451188066257270602184707161349366400, 'size': 4096}
  • id: 161824504
    {'aut_label': '5A2', 'centralizer': None, 'counter': 83, 'group_counter': 638, 'group_order': 40960, 'label': '5A2', 'order': 5, 'powers': [82, 1], 'representative': 187892086092257657169085376376010417758630307062, 'size': 4096}
  • id: 161824505
    {'aut_label': '5A-2', 'centralizer': None, 'counter': 84, 'group_counter': 638, 'group_order': 40960, 'label': '5A-2', 'order': 5, 'powers': [81, 1], 'representative': 628036971241726346608362515205445957969149865662, 'size': 4096}
  • id: 161824506
    {'aut_label': '10A1', 'centralizer': None, 'counter': 85, 'group_counter': 638, 'group_order': 40960, 'label': '10A1', 'order': 10, 'powers': [81, 2], 'representative': 648421079245359683163302911272699852873142905457, 'size': 4096}
  • id: 161824507
    {'aut_label': '10A-1', 'centralizer': None, 'counter': 86, 'group_counter': 638, 'group_order': 40960, 'label': '10A-1', 'order': 10, 'powers': [82, 2], 'representative': 167480429916145917446460762636050069991695465017, 'size': 4096}
  • id: 161824508
    {'aut_label': '10A3', 'centralizer': None, 'counter': 87, 'group_counter': 638, 'group_order': 40960, 'label': '10A3', 'order': 10, 'powers': [84, 2], 'representative': 418714742860872090594009735250734565902117424687, 'size': 4096}
  • id: 161824509
    {'aut_label': '10A-3', 'centralizer': None, 'counter': 88, 'group_counter': 638, 'group_order': 40960, 'label': '10A-3', 'order': 10, 'powers': [83, 2], 'representative': 732175100210799737777913277143063929188901310736, 'size': 4096}
• group 40960.yn does not appear in gps_qchar
• group 40960.yn does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 211888737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 40960, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '40960.yn.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': '40960.yn', 'subgroup_hash': 8847484603858943384, 'subgroup_order': 40960, 'subgroup_tex': 'C_2^5.C_2^8:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '40960.yn.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': ['D', 'F', 'L1', 'D1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 862931797685749374, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^5.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 211888759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': 7972448306544043147, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': 2585000934196743839, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': 8094019904389727806, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': None, 'subgroup_hash': 8181207059174109693, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': None, 'subgroup_hash': 5231714258708360361, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2954588016133869362, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1857983892745458547, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1184749677590463345, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 361443699945188795, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1951915564405975459, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 48618927355638755, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1345133908300828394, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5788690272369702724, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 4891366169013958980, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2080910555137257603, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2262576437967836289, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 8437656163370381114, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 938792634426786476, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 7509306225978903694, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6405787812313450693, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6260526941030652221, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 793658080935642779, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2399358897318915643, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5291741473681264524, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2406637079854069570, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 8789124890040171956, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2120290828517422615, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6349780615572035266, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 463080320546108520, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1460970137611791559, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 3972476507204159644, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 3134391734585313004, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5548853294841661035, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 8011381169635891037, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 10314992503232391, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5998583758519388273, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5192994536604284199, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 8958975529327332993, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 3015177749082280940, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 7453729183014717902, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1862489518594057042, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 1622564780759338536, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5027690067303914124, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6687299284919419368, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 8544582473041996220, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 7165443492049145060, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 2981363656053136328, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6447514731344432731, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 6810056619925958182, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 5464674023576607018, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.10.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 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': 559251165176684643, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 211888786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.h', 'subgroup_hash': 8908274024047080446, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.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': '2560.k', 'subgroup_hash': 3243140436192724692, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^4.C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.h', 'subgroup_hash': 8908274024047080446, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.D', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.k', 'subgroup_hash': 3243140436192724692, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^4.C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.E', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.F', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.G', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.H', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.I', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.cq', 'subgroup_hash': 322359476207911502, 'subgroup_order': 2560, 'subgroup_tex': 'C_2.C_4^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.J', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.cu', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.K', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.ct', 'subgroup_hash': 2091697748249782913, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^4.C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.L', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.M', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.d', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.N', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.cu', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.O', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.co', 'subgroup_hash': 2381080967802432209, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^5.C_2^4:C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.P', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.ct', 'subgroup_hash': 2091697748249782913, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^4.C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.16.Q', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '2560.cr', 'subgroup_hash': 2091697748236502820, 'subgroup_order': 2560, 'subgroup_tex': 'C_2^4.C_2\\wr C_5', 'supersolvable': False, 'sylow': 0}
  • id: 211888805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66191', 'subgroup_hash': 3496532390464127090, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211888806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.752060', 'subgroup_hash': 4867463633345716437, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211888807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66191', 'subgroup_hash': 3496532390464127090, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211888808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.752060', 'subgroup_hash': 4867463633345716437, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 211888809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.60905', 'subgroup_hash': 303509654543696216, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.67611', 'subgroup_hash': 8547798263388157886, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.752382', 'subgroup_hash': 5879494614837911533, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.66738', 'subgroup_hash': 4369738372260254348, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.67611', 'subgroup_hash': 8547798263388157886, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.67612', 'subgroup_hash': 4615373000749220663, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.752382', 'subgroup_hash': 5879494614837911533, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 512, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.80.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.752479', 'subgroup_hash': 5174448960621409659, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888823
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 32, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.1280.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1280.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1280.1116356', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1116356, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8:C_5', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'S', 'D2', 'C3'], '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: 211888824
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 16, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40960.yn.2560.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2560.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 423049963652894384, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2560, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5.C_2^4.C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 211888826
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '40960.yn.8192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8192.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': 8192, '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: 211888827
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': True, 'central_factor': False, 'centralizer_order': 40960, 'characteristic': True, 'core_order': 2, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40960.yn.20480.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '20480.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6490145617843113614, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.C_2^4.C_5', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0', 'C4'], '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: 211888828
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40960.yn', 'ambient_counter': 638, 'ambient_order': 40960, 'ambient_tex': 'C_2^5.C_2^8:C_5', 'central': True, 'central_factor': False, 'centralizer_order': 40960, 'characteristic': True, 'core_order': 1, 'counter': 92, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '40960.yn.40960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40960.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '40960.yn', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8847484603858943384, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5.C_2^8:C_5', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D3', 'C5'], '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: 211888737
    {'ambient': '40960.yn', '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': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 125581992434417862669859579362824289120336036487, 313460272251360901358098754956414257562671415687, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 211888738
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.Q', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.H', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888739
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.P', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.I', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888740
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.I', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.J', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888741
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.L', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.K', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888742
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.K', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.L', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888743
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.E', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.M', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888744
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.D', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.N', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888745
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.C', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.O', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888746
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.P', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888747
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.E', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.Q', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888748
    {'ambient': '40960.yn', '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': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 125581992434417862669859579362824289120336036487, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.5.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888749
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.I', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.R', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888750
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.L', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 83740172122210492040787184311202791977453030521, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.S', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888751
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.P', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.T', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888752
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.H', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 41841840995980100646845811522964623827363825406, 13763761833740813448478879470323120448295656, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.U', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888753
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.Q', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.V', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888754
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.K', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.W', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888755
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.M', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 41841840995980100646845811522964623827363825406, 13763761833740813448478879470323120448295656, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.X', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888756
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.D', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 41841840995980100646845811522964623827363825406, 13763761833740813448478879470323120448295656, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.Y', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888757
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.C', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.Z', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888758
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.O', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BA', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888759
    {'ambient': '40960.yn', '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': '80.N', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.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': '256.56092'}
  • id: 211888760
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.K', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BB', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888761
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.P', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BC', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888762
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.J', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BD', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888763
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.Q', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 41841840995980100646845811522964623827363825406, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BE', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888764
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.F', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 41841840995980100646845811522964623827363825406, 13763761833740813448478879470323120448295656, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BF', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888765
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.D', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BG', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888766
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.M', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BH', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888767
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.L', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BI', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888768
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BJ', 'aut_quo_index': None, 'aut_stab_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.F', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BJ', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888769
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.I', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BK', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888770
    {'ambient': '40960.yn', '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': '80.G', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.B', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888771
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.G', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BL', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888772
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.G', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BM', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888773
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.J', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BN', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888774
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.H', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BO', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888775
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.N', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BP', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888776
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.N', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 41841840995980100646845811522964623827363825406, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BQ', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888777
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.O', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 41841840995980100646845811522964623827363825406, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BR', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888778
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.E', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BS', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888779
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.C', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417871500732623847799777047181316537, 83740172122210492040787184311202791977453030521, 5167, 125581992434417862658955198651150020183583459896, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BT', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888780
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.10.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BU', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888781
    {'ambient': '40960.yn', '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': 1, 'contained_in': None, 'contains': None, 'core': '80.J', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 8852650942994428437952441044337, 125582002776249146674816207551307871849306731567, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.C', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888782
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 41841840995980100646845811522964623827363825406, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 125595756196243371791987289580557585075653246016, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BV', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888783
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 125581992434417862669859579362824289120336036487, 83740172122210492029882803701710401804535235337, 13763761833740813448478879470323120448295656, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BW', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888784
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 83740172122210500871660254699164664667011772776, 125581992434417862669859579362824289120336036487, 13763761833740813448478879470323120448295656, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BX', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888785
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.A', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 8852650942994428437952441044337, 125581992434417862669859579362824289120336036487, 13763761833740813448478879470323120448295656, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 10341831284004957004135855492332458768040, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.BY', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888786
    {'ambient': '40960.yn', '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': '80.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10341873504648934682346441609237719654400, 10341831284004956816162169538844616143983, 125581992434417862669859579362824289120336036487, 313460272251360901358098754956414257562671415687, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647, 10341831284004957004135855492332458768040], 'label': '40960.yn.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '1280.1116310'}
  • id: 211888787
    {'ambient': '40960.yn', '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': '80.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 42211791327136964333401273792521462, 1313941668480, 125595766520674031606663047255470434622536529960, 41841840995946111694188497661917206888325973822, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 313460272251360901358098754956414257562671415687, 10341831284015861384745104589689210181143], 'label': '40960.yn.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': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '1280.1116310'}
  • id: 211888788
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.C', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125595766520674031606662993089596218212151319616, 83740172122210492040787184311202791977453030521, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 125581992434451860453389937708847195300081003001, 313460272251360901358098754956414257562671415687, 125581992434417862658955198651150020183583459896], 'label': '40960.yn.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '1280.1116310'}
  • id: 211888789
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125582002776283144458346753871016721618365854137, 25903229683158464676480, 41841840995980100646845811522964623827363825406, 8231691320552322981363253248000000, 5167, 13763761833740813448450514400614010349507247, 313460272251360901358098754956414257562671415687, 42220633073485574779688427573364432], 'label': '40960.yn.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '1280.1116310'}
  • id: 211888790
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.E', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [104151817956499161744473810395514403499262556721, 313460272251360901358098754956414257562671415687, 10341831284015861196873843810745604826832, 8852650971359498147050085743926, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888791
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.F', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10904380711674274516337429183, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 10341831292857607759156597964270725843326, 313460272251360901358098754956414257562671415687, 13774086256168936803627501504970019847516847, 41841840995946111694188443496042991791801835446], 'label': '40960.yn.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.F', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888792
    {'ambient': '40960.yn', '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': '80.O', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 104151817956499161744473782030687274528986396662, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', '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': '256.56092'}
  • id: 211888793
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.G', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125595756196209382839329949918463080696506302080, 25903229683158464676480, 104151817956473404461328313337329490820255169137, 8231691320552322981363253248000000, 5167, 313460272251360901358098754956414257562671415687, 125582002776249155505689440009969303365387012601, 42220633073647645235960070892254743], 'label': '40960.yn.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.G', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888794
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.H', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [125581992434417862658955010779889241239978105599, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 62253486830234781397875041215527474343335191737, 125581992434417871500732623847799777047181316537, 8231691320552322981363253248000000, 5167, 13774086298389580781493685533751525994524783, 313460272251360901358098754956414257562671415687], 'label': '40960.yn.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.H', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888795
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.I', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [313460272251360901358098754956414257562671415687, 13763761791520169470638496246048914507187207, 10341873504638030301736949227259735419583, 104151817956473404461328259171455275723731020921, 5167, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 125581992434451860453389883542972978902149839422, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.I', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': '1280.1116309'}
  • id: 211888796
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.J', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [13774086256168936803681667379186430232769256, 313460272251360901358098754956414257562671415687, 83740172122210492040787212676029920947729242737, 5167, 25903229683158464676480, 125582002776249146663911826942058780072140150416, 125582002776249155505689411644899594267742313022, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.J', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888797
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.K', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125595766520708020559320332751690722591378775680, 25903229683158464676480, 8231691320552322981363253248000000, 104151817956499161744473782030687274528986396662, 5167, 10341873495796283898960628711194067053937, 313460272251360901358098754956414257562671415687, 10904568582935053459942825559], 'label': '40960.yn.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888798
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.L', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [125581992434451851611612512512440018563931566712, 8852650942994428437952441044337, 20411656176128185399963966204635374750869673647, 1313941668480, 125595756196243371791987289580557585075653246016, 83740172122184734757641715617845005640919030321, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 313460272251360901358098754956414257562671415687], 'label': '40960.yn.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.L', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888799
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.M', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [13763761791520169470584330371832504121987183, 313460272251360901358098754956414257562671415687, 42211791327082798459184875861305726, 5167, 125581992434451851611612350441983746920612624016, 62253486830268770350532409242449109006699964222, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.M', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888800
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.N', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [62253486830234781397875095381401689439859287806, 125582002776283144458346699705142505220434648241, 20411656176128185399963966204635374750869673647, 1313941668480, 125595766520708020559320361116760431701477564103, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 313460272251360901358098754956414257562671415687, 125582002776249146663912014813319559015745557112], 'label': '40960.yn.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.N', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888801
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.O', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [125581992434417871500732595482730067949536574641, 20411656176128185399963966204635374750869673647, 1313941668480, 41841840995980100646845783158137494857087665337, 125595756196243371791987317945627294185751992360, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 313460272251360901358098754956414257562671415687, 10341873504638030463807405498903054351959], 'label': '40960.yn.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.O', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': '1280.1116312'}
  • id: 211888802
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.P', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [125582002776283135616569166604153283149880031999, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 10341873495796283953126502927591998217526, 83740172122184734757641661451970790544394934262, 313460272251360901358098754956414257562671415687, 13763761833740813448478879470323120448295656], 'label': '40960.yn.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': '1280.1116311'}
  • id: 211888803
    {'ambient': '40960.yn', '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': 1, 'contained_in': None, 'contains': None, 'core': '80.F', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 13763761833740813448478879470323120448295656, 83740172122210492040787184311202791977453030521, 5167, 10904380711674274516337429183, 25903229683158464676480, 1313941668480, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', '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': '256.56092'}
  • id: 211888804
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.Q', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [125582002776283135616569328674609554793198922296, 20411656176128185399963966204635374750869673647, 1313941668480, 125595756196209382839330004084337297106891554503, 25903229683158464676480, 62253486830268770350532380877621980036423761846, 8231691320552322981363253248000000, 5167, 10341831292857607787521667673368370595062, 313460272251360901358098754956414257562671415687], 'label': '40960.yn.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Q', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': '1280.1116312'}
  • id: 211888805
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10341831284004956816162169538844616143983, 125581992434417862669859579362824289120336036487, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 8231691320552322981363253248000000, 10341873504648934682346441609237719654400, 5167, 10341831284004957004135855492332458768040], 'label': '40960.yn.80.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.A', 'subgroup_fusion': None, 'weyl_group': '1280.1116356'}
  • id: 211888806
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8231691320552322981363253248000000, 5167, 1313941668480, 41841840995946111694188497661917206888325973822, 20411656176128185399963966204635374750869673647, 10341831284015861384745104589689210181143, 42211791327136964333401273792521462, 125595766520674031606663047255470434622536529960, 25903229683158464676480], 'label': '40960.yn.80.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.B', 'subgroup_fusion': None, 'weyl_group': '1280.1116356'}
  • id: 211888807
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125581992434451860453389937708847195300081003001, 8231691320552322981363253248000000, 5167, 1313941668480, 83740172122210492040787184311202791977453030521, 20411656176128185399963966204635374750869673647, 125581992434417862658955198651150020183583459896, 125595766520674031606662993089596218212151319616, 25903229683158464676480], 'label': '40960.yn.80.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.C', 'subgroup_fusion': None, 'weyl_group': '1280.1116356'}
  • id: 211888808
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125582002776283144458346753871016721618365854137, 25903229683158464676480, 41841840995980100646845811522964623827363825406, 8231691320552322981363253248000000, 5167, 13763761833740813448450514400614010349507247, 42220633073485574779688427573364432], 'label': '40960.yn.80.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.D', 'subgroup_fusion': None, 'weyl_group': '1280.1116356'}
  • id: 211888809
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [104151817956499161744473810395514403499262556721, 10341831284015861196873843810745604826832, 8852650971359498147050085743926, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 13774086298389580781522050603460636093260807], 'label': '40960.yn.80.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.e1.N', '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': '1280.1116356'}
  • id: 211888810
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10341831292857607759156597964270725843326, 8231691320552322981363253248000000, 5167, 1313941668480, 41841840995946111694188443496042991791801835446, 20411656176128185399963966204635374750869673647, 25903229683158464676480, 10904380711674274516337429183, 13774086256168936803627501504970019847516847], 'label': '40960.yn.80.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.f1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888811
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125595756196209382839329949918463080696506302080, 25903229683158464676480, 104151817956473404461328313337329490820255169137, 8231691320552322981363253248000000, 5167, 125582002776249155505689440009969303365387012601, 42220633073647645235960070892254743], 'label': '40960.yn.80.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.g1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888812
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125581992434417862658955010779889241239978105599, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 62253486830234781397875041215527474343335191737, 125581992434417871500732623847799777047181316537, 8231691320552322981363253248000000, 5167, 13774086298389580781493685533751525994524783], 'label': '40960.yn.80.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.h1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888813
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 104151817956473404461328259171455275723731020921, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 13763761791520169470638496246048914507187207, 125581992434451860453389883542972978902149839422, 10341873504638030301736949227259735419583], 'label': '40960.yn.80.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.i1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888814
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '10.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': '80.H', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [125582002776249146674816395524993825337149397703, 10341873504648934682346441609237719654400, 125582002776249146674816207551307871849306731567, 10341831292857607759156597964270725843326, 104151817956499161744473782030687274528986396662, 10341831284015861196873843810745604826832, 5167, 25903229683158464676480, 1313941668480, 13774086298389580781522050603460636093260807, 8231691320552322981363253248000000, 20411656176128185399963966204635374750869673647], 'label': '40960.yn.10.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.F', 'subgroup_fusion': None, 'weyl_group': '256.56092'}
  • id: 211888815
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125582002776249146663911826942058780072140150416, 20411656176128185399963966204635374750869673647, 1313941668480, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 125582002776249155505689411644899594267742313022, 83740172122210492040787212676029920947729242737, 13774086256168936803681667379186430232769256], 'label': '40960.yn.80.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.j1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888816
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20411656176128185399963966204635374750869673647, 1313941668480, 125595766520708020559320332751690722591378775680, 25903229683158464676480, 8231691320552322981363253248000000, 104151817956499161744473782030687274528986396662, 5167, 10341873495796283898960628711194067053937, 10904568582935053459942825559], 'label': '40960.yn.80.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.k1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888817
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125581992434451851611612512512440018563931566712, 8852650942994428437952441044337, 20411656176128185399963966204635374750869673647, 1313941668480, 125595756196243371791987289580557585075653246016, 83740172122184734757641715617845005640919030321, 25903229683158464676480, 8231691320552322981363253248000000, 5167], 'label': '40960.yn.80.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.l1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888818
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125581992434451851611612350441983746920612624016, 20411656176128185399963966204635374750869673647, 1313941668480, 62253486830268770350532409242449109006699964222, 25903229683158464676480, 42211791327082798459184875861305726, 8231691320552322981363253248000000, 5167, 13763761791520169470584330371832504121987183], 'label': '40960.yn.80.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.m1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888819
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [62253486830234781397875095381401689439859287806, 20411656176128185399963966204635374750869673647, 125582002776283144458346699705142505220434648241, 1313941668480, 125595766520708020559320361116760431701477564103, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 125582002776249146663912014813319559015745557112], 'label': '40960.yn.80.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.n1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888820
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125581992434417871500732595482730067949536574641, 20411656176128185399963966204635374750869673647, 1313941668480, 41841840995980100646845783158137494857087665337, 125595756196243371791987317945627294185751992360, 25903229683158464676480, 8231691320552322981363253248000000, 5167, 10341873504638030463807405498903054351959], 'label': '40960.yn.80.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.o1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888821
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125582002776283135616569166604153283149880031999, 8231691320552322981363253248000000, 10341873495796283953126502927591998217526, 5167, 1313941668480, 83740172122184734757641661451970790544394934262, 13763761833740813448478879470323120448295656, 20411656176128185399963966204635374750869673647, 25903229683158464676480], 'label': '40960.yn.80.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.p1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888822
    {'ambient': '40960.yn', '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': '1280.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '80.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [125582002776283135616569328674609554793198922296, 20411656176128185399963966204635374750869673647, 1313941668480, 125595756196209382839330004084337297106891554503, 25903229683158464676480, 62253486830268770350532380877621980036423761846, 5167, 8231691320552322981363253248000000, 10341831292857607787521667673368370595062], 'label': '40960.yn.80.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '80.q1.N', 'projective_image': None, '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': '1280.1116356'}
  • id: 211888823
    {'ambient': '40960.yn', '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': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1280.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8231691320552322981363253248000000, 5167, 1313941668480, 20411656176128185399963966204635374750869673647, 25903229683158464676480], 'label': '40960.yn.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': None, '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': '5.1'}
  • id: 211888824
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '2560.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2560.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8231691320552322981364567189668480, 20411656176128185399963966204635374750869673647, 1313941673647, 25903229683158464676480], 'label': '40960.yn.2560.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2560.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2560.a1.N', 'projective_image': '40960.yn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2560.A', 'subgroup_fusion': None, 'weyl_group': '5.1'}
  • id: 211888825
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  • id: 211888826
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '8192.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': '40960.a1', 'coset_action_label': None, 'count': 4096, 'diagramx': None, 'generators': [544283045716998939495499252591754425971321537342], 'label': '40960.yn.8192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.a1', 'projective_image': '40960.yn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 211888827
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '20480.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': '20480.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20411656176128185399963992107865056595392681647], 'label': '40960.yn.20480.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20480.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20480.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20480.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 211888828
    {'ambient': '40960.yn', 'aut_centralizer_order': None, 'aut_label': '40960.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': '40960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '40960.yn.40960.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40960.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '40960.a1.N', 'projective_image': '40960.yn', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40960.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}